## Hypothesis Testing Two Population Means and Two

### Hypothesis Test Difference in Means stattrek.com

Hypothesis test for difference of means Probability and. In a two-tailed hypothesis test, our alternative hypothesis encompasses both di- rections: we hypothesize that the test statistic is simply di erent from the predicted value., CHAPTER 6. TWO POPULATION MEANS, CONFIDENCE INTERVALS AND HYPOTHESIS TESTING Experiments are often conducted to compare two treatments. For example, comparing the.

### CHAPTER 6. TWO POPULATION MEANS CONFIDENCE INTERVALS

Hypothesis Testing-Two Groups Second Edition.pdf. The first set of hypotheses (Set 1) is an example of a two-tailed test, since an extreme value on either side of the sampling distribution would cause a researcher to reject the null hypothesis., A hypothesis test uses the data from a sample to decide between a null hypothesis and an alternative hypothesis concerning the value of a parameter in the population..

In the last video, we came up with a 95% confidence interval for the mean weight loss between the low-fat group and the control group. In this video, I actually want to do a hypothesis test, really to test if this data makes us … The two-tailed test is used when the null hypothesis can be rejected regardless of the direction of the effect. As shown in Figure 1, it is the probability of a t < -2.533 or a t > 2.533. As shown in Figure 1, it is the probability of a t < -2.533 or a t > 2.533.

She knows the population standard deviation for her shift is 1.2 calls. Test the claim the there is a difference between the mean numbers of calls for the two shifts at the 0.05 level of significance. In the last video, we came up with a 95% confidence interval for the mean weight loss between the low-fat group and the control group. In this video, I actually want to do a hypothesis test, really to test if this data makes us …

Chapter 2 Estimation and Hypothesis Testing 2.1 Point Estimation Example 2.1. Cholesterol levels continued. Suppose we want to make inference on the mean cholesterol level 9/11/2012 · Interval estimation for the difference between two population means.

Hypothesis Test on a Population Mean 1. Webeginwiththesimplestcaseofatest. Supposeweareinclinedtobelievethatsome (unknown) population meanµ has the value µ0 3 Sampling Distributions Again •If we draw all possible pairs of independent samples of size n1 and n2, respectively, from two populations. •Calculate a mean and in each one.

•Additional hypothesis tests •Two-sample tests •Paired tests 2. 3 The Basic Idea of Hypothesis Testing •Start with a theory or hypothesis •For example, m = 814.3 •Collect some data •Ask: How unusual is it to see this data if the null hypothesis is true? •If it’s unusual, reject the null hypothesis •If not, fail to reject the null •Remember, determine the hypothesis to be What is hypothesis testing?(cont.) The hypothesis we want to test is if H 1 is \likely" true. So, there are two possible outcomes: Reject H 0 and accept 1 because of su cient evidence in the sample in favor or H 1; Do not reject H 0 because of insu cient evidence to support H 1. What is hypothesis testing?(cont.) Very important!! Note that failure to reject H 0 does not mean the null

A hypothesis test uses the data from a sample to decide between a null hypothesis and an alternative hypothesis concerning the value of a parameter in the population. CHAPTER 6. TWO POPULATION MEANS, CONFIDENCE INTERVALS AND HYPOTHESIS TESTING Experiments are often conducted to compare two treatments. For example, comparing the

Tests for Paired Means . Introduction . The one-sample paired . t-test may be used to test whether the mean difference of two populations is greater than, less than, or not equal to a specific value. Because the . t. distribution is used to calculate critical values for the test, this test is often called the paired . t-test. If the standard deviation of the differences is known, the normal CHAPTER 6. TWO POPULATION MEANS, CONFIDENCE INTERVALS AND HYPOTHESIS TESTING Experiments are often conducted to compare two treatments. For example, comparing the

Hypothesis Testing of Two Means and Two Proportions: Homework For questions 1-7, indicate which of the following choices best identifies the hypothesis test. A. Independent group means, population standard deviations and/or variances unknown B. Single mean C. 2 proportions D. Single proportion EXERCISE 1 A new chocolate bar is taste-tested on consumers. Of interest is whether the … Bootstrap Hypothesis Test In 1882 Simon Newcomb performed an experiment to measure the speed of light. The numbers below represent the measured time it …

1 Hypothesis Testing-Two Groups Part I- Testing a Hypothesis about Two Independent Population Means (from SPSS Statistics 17 Guide to Data Analysis, by Marija Norusis, Prentice-Hall, 2008, pp. 273-304, enhanced by Jack Yurkiewicz) How can you test the null hypothesis that two population means are equal, based on the results observed in two Hypothesis testing procedures for two sample means with applications to gene expression data Michail Tsagris1, Abdulaziz Alenazi2 and Kleio-Maria Verrou3

CHAPTER 6. TWO POPULATION MEANS, CONFIDENCE INTERVALS AND HYPOTHESIS TESTING Experiments are often conducted to compare two treatments. For example, comparing the 1 Hypothesis Testing-Two Groups Part I- Testing a Hypothesis about Two Independent Population Means (from SPSS Statistics 17 Guide to Data Analysis, by Marija Norusis, Prentice-Hall, 2008, pp. 273-304, enhanced by Jack Yurkiewicz) How can you test the null hypothesis that two population means are equal, based on the results observed in two

Tests for Paired Means . Introduction . The one-sample paired . t-test may be used to test whether the mean difference of two populations is greater than, less than, or not equal to a specific value. Because the . t. distribution is used to calculate critical values for the test, this test is often called the paired . t-test. If the standard deviation of the differences is known, the normal CH9: Testing the Difference Between Two Means or Two Proportions Santorico - Page 364 Step 2 Find the critical value(s) from the appropriate table. T-test means use the t-table (Table F).

10.1 Hypothesis Testing: Two Population Means and Two Population Proportions1 10.1.1 Student Learning Objectives By the end of this chapter, the student should be able to: Classify hypothesis tests by type. Conduct and interpret hypothesis tests for two population means, population standard deviations known. Conduct and interpret hypothesis tests for two population means, population … Two-Sample Problems Diana Mindrila, Ph.D. Phoebe Balentyne, M.Ed. The null hypothesis for this test is that the groups have equal means or that there is no significant difference between the average scores of the two groups in the population. The alternative hypothesis can be one-sided, stating that the mean of one of the groups is higher or lower than the mean of the other group. If there

1 Hypothesis Testing with Two Samples Chapter 8 §8.1 Testing the Difference Between Means (Large Independent Samples) Larson & Farber, Elementary Statistics: Picturing the World, 3e 3 1 Hypothesis Testing-Two Groups Part I- Testing a Hypothesis about Two Independent Population Means (from SPSS Statistics 17 Guide to Data Analysis, by Marija Norusis, Prentice-Hall, 2008, pp. 273-304, enhanced by Jack Yurkiewicz) How can you test the null hypothesis that two population means are equal, based on the results observed in two

60 Chapter 4 Hypothesis Testing: Two Sample Tests Activity 1 Hand span 1 Using a 30 cm ruler, measure and record the span (thumb to fourth finger) of the dominant hand of … 1 Hypothesis Testing with Two Samples Chapter 8 §8.1 Testing the Difference Between Means (Large Independent Samples) Larson & Farber, Elementary Statistics: Picturing the World, 3e 3

Hypothesis Testing The idea of hypothesis testing is: this is called a two-sided test. Calculate a Test Statistic For a hypothesis test about population proportion, sample proportion is a good test statistic (if the conditions of the CLT are met, we can use the normal distribution) Example: We randomly poll 1000 children who dressed up for Halloween in 2011. 254 of them dressed up as CH9: Testing the Difference Between Two Means or Two Proportions Santorico - Page 364 Step 2 Find the critical value(s) from the appropriate table. T-test means use the t-table (Table F).

DataCamp Inference for Numerical Data Analysis outline Step 3. Conduct the hypothesis test. Write the values of change on 18 index cards. (1) Shuffle the cards and randomly split them into two equal sized 424 CHAPTER 10. HYPOTHESIS TESTING: TWO MEANS, PAIRED DATA, TWO PROPORTIONS To compare two averages or two proportions, you work with two groups.

### Hypothesis Testing of Two Means and Two cnx.org

An Overview of Two-Sample Hypothesis Testing Two-Sample. 10.1 Hypothesis Testing: Two Population Means and Two Population Proportions1 10.1.1 Student Learning Objectives By the end of this chapter, the student should be able to: Classify hypothesis tests by type. Conduct and interpret hypothesis tests for two population means, population standard deviations known. Conduct and interpret hypothesis tests for two population means, population …, null hypothesis for this test is that the two means are different by some pre-specified amount. The alternative The alternative hypothesis is that the difference in means is inside the pre-specified bounds..

### Hypothesis testing for comparing two means via simulation

Two-Sample Test of Hypothesis.pdf Statistical Hypothesis. Recall the alternative hypothesis was two-sided. p -value = 2 × [proportion of bell-shaped curve above 2.17] Table 8.1 => proportion is about 2 × 0.015 = 0.03. Connexions module: m17043 1 Hypothesis Testing: Two Population Means and Two Population Proportions: Comparing Two Independent Population Proportions.

Hypothesis Testing The idea of hypothesis testing is: this is called a two-sided test. Calculate a Test Statistic For a hypothesis test about population proportion, sample proportion is a good test statistic (if the conditions of the CLT are met, we can use the normal distribution) Example: We randomly poll 1000 children who dressed up for Halloween in 2011. 254 of them dressed up as 4/11/2010 · In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables

Recall the alternative hypothesis was two-sided. p -value = 2 × [proportion of bell-shaped curve above 2.17] Table 8.1 => proportion is about 2 × 0.015 = 0.03. Hypothesis Testing of Two Means and Two Proportions: Homework For questions 1-7, indicate which of the following choices best identifies the hypothesis test. A. Independent group means, population standard deviations and/or variances unknown B. Single mean C. 2 proportions D. Single proportion EXERCISE 1 A new chocolate bar is taste-tested on consumers. Of interest is whether the …

Two sample tests for means Hypothesis tests Power, con dence intervals, and sample size 2/44. Hypothesis Testing, Power, Sample Size and Con dence Intervals (Part 1) Introduction to hypothesis testing Introduction I Goal of hypothesis testing is to rule out chance as an explanation for an observed e ect I Example: Cholesterol lowering medications I 25 people treated with a statin and 25 with a 1) Conduct a test of hypothesis about the difference between two independent population means. 2) Conduct a test of hypothesis about the difference between two population proportions.

Lab Activity: Hypothesis Testing – Two Independent Population Means In this lab activity, you will conduct hypothesis testing for claims involving the means of two independent populations. Student Learning Outcomes By the end of this chapter, you should be able to do the following: Perform hypothesis testing for two independent population means using Statcato Interpret the results of A hypothesis test uses the data from a sample to decide between a null hypothesis and an alternative hypothesis concerning the value of a parameter in the population.

mean) The lowest time it takes to run 30 miles is 2 hours. (statement about population max) Stocks are more volatile than bonds. (statement about variances of stock and bond returns) In hypothesis testing, you are interested in testing between two mutually exclusive hy-potheses, called the null hypothesis (denoted H 0) and the alternative hypothesis (denoted H 1). H 0 and H 1 are complementary •Additional hypothesis tests •Two-sample tests •Paired tests 2. 3 The Basic Idea of Hypothesis Testing •Start with a theory or hypothesis •For example, m = 814.3 •Collect some data •Ask: How unusual is it to see this data if the null hypothesis is true? •If it’s unusual, reject the null hypothesis •If not, fail to reject the null •Remember, determine the hypothesis to be

In the last video, we came up with a 95% confidence interval for the mean weight loss between the low-fat group and the control group. In this video, I actually want to do a hypothesis test, really to test if this data makes us … The two-tailed test is used when the null hypothesis can be rejected regardless of the direction of the effect. As shown in Figure 1, it is the probability of a t < -2.533 or a t > 2.533. As shown in Figure 1, it is the probability of a t < -2.533 or a t > 2.533.

4/11/2010 · In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables Tests for Paired Means . Introduction . The one-sample paired . t-test may be used to test whether the mean difference of two populations is greater than, less than, or not equal to a specific value. Because the . t. distribution is used to calculate critical values for the test, this test is often called the paired . t-test. If the standard deviation of the differences is known, the normal

Lab Activity: Hypothesis Testing – Two Independent Population Means In this lab activity, you will conduct hypothesis testing for claims involving the means of two independent populations. Student Learning Outcomes By the end of this chapter, you should be able to do the following: Perform hypothesis testing for two independent population means using Statcato Interpret the results of 1) Conduct a test of hypothesis about the difference between two independent population means. 2) Conduct a test of hypothesis about the difference between two population proportions.

mean) The lowest time it takes to run 30 miles is 2 hours. (statement about population max) Stocks are more volatile than bonds. (statement about variances of stock and bond returns) In hypothesis testing, you are interested in testing between two mutually exclusive hy-potheses, called the null hypothesis (denoted H 0) and the alternative hypothesis (denoted H 1). H 0 and H 1 are complementary Bootstrap Hypothesis Test In 1882 Simon Newcomb performed an experiment to measure the speed of light. The numbers below represent the measured time it …

## Hypothesis test for difference of means (video) Khan Academy

Hypothesis Testing-Two Groups Second Edition.pdf. Chapter 2 Estimation and Hypothesis Testing 2.1 Point Estimation Example 2.1. Cholesterol levels continued. Suppose we want to make inference on the mean cholesterol level, 1 Hypothesis Testing with Two Samples Chapter 8 §8.1 Testing the Difference Between Means (Large Independent Samples) Larson & Farber, Elementary Statistics: Picturing the World, 3e 3.

### CH9 Testing the Difference Between Two Means Two

CH9 Testing the Difference Between Two Means Two. Chapter 2 Estimation and Hypothesis Testing 2.1 Point Estimation Example 2.1. Cholesterol levels continued. Suppose we want to make inference on the mean cholesterol level, null hypothesis for this test is that the two means are different by some pre-specified amount. The alternative The alternative hypothesis is that the difference in means is inside the pre-specified bounds..

Bootstrap Hypothesis Test In 1882 Simon Newcomb performed an experiment to measure the speed of light. The numbers below represent the measured time it … 1) Conduct a test of hypothesis about the difference between two independent population means. 2) Conduct a test of hypothesis about the difference between two population proportions.

4/11/2010 · In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables means if you are performing a two sample test) under the null hypothesis. The option The option alternative is a character string specifying the alternative hypothesis, and must be one

Assess the power of a hypothesis test. 1-20 Two-Sample t-Test Example 3 Customer Complaints Evaluate the differences in t he mean number of customer complaints using a two-sample t-test. 1-29 Exercise B Call Center Handling Times Compare the difference in call center handling times using a two-sample t-test. 1-41 Exercise C Salary Comparison Compare the difference in household salaries in two Section 8.1: Testing the Diﬀerence Between Means (Large Independent Samples) Today we will study • An introduction to two-sample hypothesis testing, for the diﬀerence between two population parameters

Bootstrap Hypothesis Test In 1882 Simon Newcomb performed an experiment to measure the speed of light. The numbers below represent the measured time it … Connexions module: m17025 4 Problem 1 (Solution on p. 5.) Is this a test of two means or two proportions? Problem 2 (Solution on p. 5.) Are the populations standard deviations known or unknown?

This lesson explains how to conduct a hypothesis test for the difference between two means. The test procedure, called the two-sample t-test, is appropriate when the following conditions are met: Every hypothesis test requires the analyst to state a null hypothesis and an alternative hypothesis. The Hypothesis Testing of Two Means and Two Proportions: Homework For questions 1-7, indicate which of the following choices best identifies the hypothesis test. A. Independent group means, population standard deviations and/or variances unknown B. Single mean C. 2 proportions D. Single proportion EXERCISE 1 A new chocolate bar is taste-tested on consumers. Of interest is whether the …

The first set of hypotheses (Set 1) is an example of a two-tailed test, since an extreme value on either side of the sampling distribution would cause a researcher to reject the null hypothesis. 1 Hypothesis Testing-Two Groups Part I- Testing a Hypothesis about Two Independent Population Means (from SPSS Statistics 17 Guide to Data Analysis, by Marija Norusis, Prentice-Hall, 2008, pp. 273-304, enhanced by Jack Yurkiewicz) How can you test the null hypothesis that two population means are equal, based on the results observed in two

Assess the power of a hypothesis test. 1-20 Two-Sample t-Test Example 3 Customer Complaints Evaluate the differences in t he mean number of customer complaints using a two-sample t-test. 1-29 Exercise B Call Center Handling Times Compare the difference in call center handling times using a two-sample t-test. 1-41 Exercise C Salary Comparison Compare the difference in household salaries in two CHAPTER 6. TWO POPULATION MEANS, CONFIDENCE INTERVALS AND HYPOTHESIS TESTING Experiments are often conducted to compare two treatments. For example, comparing the

CHAPTER 6. TWO POPULATION MEANS, CONFIDENCE INTERVALS AND HYPOTHESIS TESTING Experiments are often conducted to compare two treatments. For example, comparing the hypothesis for difference of population parameters; it is testing the difference between two population means or two population proportions. In order to run an efficient test you will need to choose a sample that represents your

CHAPTER 6. TWO POPULATION MEANS, CONFIDENCE INTERVALS AND HYPOTHESIS TESTING Experiments are often conducted to compare two treatments. For example, comparing the Hypothesis testing procedures for two sample means with applications to gene expression data Michail Tsagris1, Abdulaziz Alenazi2 and Kleio-Maria Verrou3

She knows the population standard deviation for her shift is 1.2 calls. Test the claim the there is a difference between the mean numbers of calls for the two shifts at the 0.05 level of significance. 9/11/2012 · Interval estimation for the difference between two population means.

This lesson explains how to conduct a hypothesis test for the difference between two means. The test procedure, called the two-sample t-test, is appropriate when the following conditions are met: Every hypothesis test requires the analyst to state a null hypothesis and an alternative hypothesis. The Hypothesis Test on a Population Mean 1. Webeginwiththesimplestcaseofatest. Supposeweareinclinedtobelievethatsome (unknown) population meanµ has the value µ0

Two sample tests for means Hypothesis tests Power, con dence intervals, and sample size 2/44. Hypothesis Testing, Power, Sample Size and Con dence Intervals (Part 1) Introduction to hypothesis testing Introduction I Goal of hypothesis testing is to rule out chance as an explanation for an observed e ect I Example: Cholesterol lowering medications I 25 people treated with a statin and 25 with a 424 CHAPTER 10. HYPOTHESIS TESTING: TWO MEANS, PAIRED DATA, TWO PROPORTIONS To compare two averages or two proportions, you work with two groups.

This lesson explains how to conduct a hypothesis test for the difference between two means. The test procedure, called the two-sample t-test, is appropriate when the following conditions are met: Every hypothesis test requires the analyst to state a null hypothesis and an alternative hypothesis. The Tests for Paired Means . Introduction . The one-sample paired . t-test may be used to test whether the mean difference of two populations is greater than, less than, or not equal to a specific value. Because the . t. distribution is used to calculate critical values for the test, this test is often called the paired . t-test. If the standard deviation of the differences is known, the normal

Bootstrap Hypothesis Test In 1882 Simon Newcomb performed an experiment to measure the speed of light. The numbers below represent the measured time it … mean) The lowest time it takes to run 30 miles is 2 hours. (statement about population max) Stocks are more volatile than bonds. (statement about variances of stock and bond returns) In hypothesis testing, you are interested in testing between two mutually exclusive hy-potheses, called the null hypothesis (denoted H 0) and the alternative hypothesis (denoted H 1). H 0 and H 1 are complementary

B) Hypothesis testing of the difference between two population means This is a two sample z test which is used to determine if two population means are equal or unequal. There are three possibilities for formulating hypotheses. CH9: Testing the Difference Between Two Means or Two Proportions Santorico - Page 364 Step 2 Find the critical value(s) from the appropriate table. T-test means use the t-table (Table F).

9/11/2012 · Interval estimation for the difference between two population means. B) Hypothesis testing of the difference between two population means This is a two sample z test which is used to determine if two population means are equal or unequal. There are three possibilities for formulating hypotheses.

### Tests for Paired Means ncss-wpengine.netdna-ssl.com

Hypothesis Testing Two Population Proportions Comparing. Hypothesis Testing of Two Means and Two Proportions: Homework For questions 1-7, indicate which of the following choices best identifies the hypothesis test. A. Independent group means, population standard deviations and/or variances unknown B. Single mean C. 2 proportions D. Single proportion EXERCISE 1 A new chocolate bar is taste-tested on consumers. Of interest is whether the …, 3 Sampling Distributions Again •If we draw all possible pairs of independent samples of size n1 and n2, respectively, from two populations. •Calculate a mean and in each one..

### Lecture 8 More Hypothesis Testing

Hypothesis testing for comparing two means via simulation. She knows the population standard deviation for her shift is 1.2 calls. Test the claim the there is a difference between the mean numbers of calls for the two shifts at the 0.05 level of significance. 1 Hypothesis Testing with Two Samples Chapter 8 §8.1 Testing the Difference Between Means (Large Independent Samples) Larson & Farber, Elementary Statistics: Picturing the World, 3e 3.

60 Chapter 4 Hypothesis Testing: Two Sample Tests Activity 1 Hand span 1 Using a 30 cm ruler, measure and record the span (thumb to fourth finger) of the dominant hand of … Connexions module: m17025 4 Problem 1 (Solution on p. 5.) Is this a test of two means or two proportions? Problem 2 (Solution on p. 5.) Are the populations standard deviations known or unknown?

In a two-tailed hypothesis test, our alternative hypothesis encompasses both di- rections: we hypothesize that the test statistic is simply di erent from the predicted value. Two-Sample Problems Diana Mindrila, Ph.D. Phoebe Balentyne, M.Ed. The null hypothesis for this test is that the groups have equal means or that there is no significant difference between the average scores of the two groups in the population. The alternative hypothesis can be one-sided, stating that the mean of one of the groups is higher or lower than the mean of the other group. If there

1) Conduct a test of hypothesis about the difference between two independent population means. 2) Conduct a test of hypothesis about the difference between two population proportions. hypothesis for difference of population parameters; it is testing the difference between two population means or two population proportions. In order to run an efficient test you will need to choose a sample that represents your

Assess the power of a hypothesis test. 1-20 Two-Sample t-Test Example 3 Customer Complaints Evaluate the differences in t he mean number of customer complaints using a two-sample t-test. 1-29 Exercise B Call Center Handling Times Compare the difference in call center handling times using a two-sample t-test. 1-41 Exercise C Salary Comparison Compare the difference in household salaries in two Hypothesis Testing The idea of hypothesis testing is: this is called a two-sided test. Calculate a Test Statistic For a hypothesis test about population proportion, sample proportion is a good test statistic (if the conditions of the CLT are met, we can use the normal distribution) Example: We randomly poll 1000 children who dressed up for Halloween in 2011. 254 of them dressed up as

mean) The lowest time it takes to run 30 miles is 2 hours. (statement about population max) Stocks are more volatile than bonds. (statement about variances of stock and bond returns) In hypothesis testing, you are interested in testing between two mutually exclusive hy-potheses, called the null hypothesis (denoted H 0) and the alternative hypothesis (denoted H 1). H 0 and H 1 are complementary Thus, a hypothesis about the ratio of the means on the original scale can be translated into a hypothesis about the difference of two means on the logged scale. Coefficient of Variation

means if you are performing a two sample test) under the null hypothesis. The option The option alternative is a character string specifying the alternative hypothesis, and must be one null hypothesis for this test is that the two means are different by some pre-specified amount. The alternative The alternative hypothesis is that the difference in means is inside the pre-specified bounds.

Hypothesis Testing One and Two-tailed Tests. Errors. Power. Hypothesis Testing for Relationships AHX5043 (2008) 3 Correlational Research Correlational research is concerned with the relationships between variables. Whether high scores on one variable go with high (or low) scores on another, or whether there is no observable pattern. AHX5043 (2008) 4 Scattergrams Scattergram:method for … DataCamp Inference for Numerical Data Analysis outline Step 3. Conduct the hypothesis test. Write the values of change on 18 index cards. (1) Shuffle the cards and randomly split them into two equal sized

Connexions module: m17025 4 Problem 1 (Solution on p. 5.) Is this a test of two means or two proportions? Problem 2 (Solution on p. 5.) Are the populations standard deviations known or unknown? The two-tailed test is used when the null hypothesis can be rejected regardless of the direction of the effect. As shown in Figure 1, it is the probability of a t < -2.533 or a t > 2.533. As shown in Figure 1, it is the probability of a t < -2.533 or a t > 2.533.

334 CHAPTER 9. HYPOTHESIS TESTING: SINGLE MEAN AND SINGLE PROPORTION 1. Set up two contradictory hypotheses. 2. Collect sample data (in homework problems, the data or summary statistics will be given to you). Hypothesis Testing The idea of hypothesis testing is: this is called a two-sided test. Calculate a Test Statistic For a hypothesis test about population proportion, sample proportion is a good test statistic (if the conditions of the CLT are met, we can use the normal distribution) Example: We randomly poll 1000 children who dressed up for Halloween in 2011. 254 of them dressed up as