Chapter 7.4（课件）- 《统计学基础（英文版）》同步教学（人民大学版）

Chapter Hypothesis Testing with One Sample 7 1 Copyright 2019, 2015, 2012, Pearson Education, Inc. 1 Larson/Farber 6th ed Chapter 1 Chapter Outline 7.1 Introduction to Hypothesis Testing 7.2 Hypothesis Testing for the Mean ( Known) 7.3 Hypothesis Testing for the Mean ( Unknown) 7.4 Hypothesis Testing for Proportions 7.5 Hypothesis Testing for Variance and Standard Deviation . 1 Copyright 2019, 2015, 2012, Pearson Education, Inc. Section 7.4 Hypothesis Testing for Proportions . 1 Copyright 2019, 2015, 2012, Pearson Education, Inc. Section 7.4 Objectives How to use the z-test to test a population proportion p . 1 Copyright 2019, 2015, 2012, Pearson Education, Inc. z-Test for a Population Proportion z-Test for a Population Proportion A statistical test for a population proportion. Can be used when a binomial distribution is given such that np  5 and nq  5. The test statistic is the sample proportion . The standardized test statistic is z. . 1 Copyright 2019, 2015, 2012, Pearson Education, Inc. 5 Using a z-Test for a Proportion p Verify that the sampling distribution of can be approximated by the normal distribution. State the claim mathematically and verbally. Identify the null and alternative hypotheses. Specify the level of significance. Determine the critical value(s). State H0 and Ha. Identify . Use Table 4 in App. B. In Words In Symbols . np ≥ 5 and nq ≥ 5 1 Copyright 2019, 2015, 2012, Pearson Education, Inc. 6 Using a z-Test for a Proportion p Determine the rejection region(s). Find the standardized test statistic and sketch the sampling distribution. Make a decision to reject or fail to reject the null hypothesis. Interpret the decision in the context of the original claim. If z is in the rejection region, reject H0. Otherwise, fail to reject H0. In Words In Symbols . 1 Copyright 2019, 2015, 2012, Pearson Education, Inc. 7 Example: Hypothesis Test for a Proportion A researcher claims that less than 45% of U.S. adu