《统计学基础（英文版·第7版）》课件les7e_ppt_ADA_0804.pptxVIP

Elementary StatisticsChapter 8Seventh EditionHypothesis Testing with Two SamplesCopyright 2019, 2015, 2012, Pearson Education, Inc.Chapter Outline8.1 Testing the Difference Between Means(Independent Samples, and Known)8.2 Testing the Difference Between Meansand (Independent Samples, Unknown)8.3 Testing the Difference Between Means (Dependent Samples)8.4 Testing the Difference Between ProportionsSection 8.4Testing the Difference Between ProportionsSection 8.4 ObjectivesHow to perform a two-sample z-test for the difference between two population proportions and Two-Sample z-Test for ProportionsUsed to test the difference between two populationand proportions, .Three conditions are required to conduct the test.The samples must be randomly selected.The samples must be independent.The samples must be large enough to use a normal sampling distribution. That is, , , and , .Two-Sample z-Test for the Difference Between Proportions (1 of 5)If these conditions are met, then the samplingdistribution for , is a normal distributionMean: A weighted estimate of can be found byand using, where and Standard error: Two-Sample z-Test for the Difference Between Proportions (2 of 5)A two-sample z-test is used to test the difference between two population proportions whenand these conditions are met. The samples are random.The samples are independent.The quantities , , are at least 5., and The test statistic is The standardized test statistic is and where Two-Sample z-Test for the Difference Between Proportions (3 of 5)In WordsIn SymbolsVerify that the samples are random and independent.Find the weighted estimate of , and . Verify that, , , are at least 5.State the claim mathematically and verbally. Identify the null and alternative hypotheses.State .and .Identify Specify the level of significance.Two-Sample z-Test for the Difference Between Proportions (4 of 5)In SymbolsIn WordsDetermine the critical value(s).Use Table 4 in Appendix B.Determine the rejection region(s).Find the standardiz