Chapter 10.1（课件）- 《统计学基础（英文版）》同步教学（人民大学版）

Chapter Chi-Square Tests and the F-Distribution 10 1 Copyright 2019, 2015, 2012, Pearson Education, Inc. 1 Larson/Farber 6th ed Chapter 1 Chapter Outline 10.1 Goodness-of-Fit Test 10.2 Independence 10.3 Comparing Two Variances 10.4 Analysis of Variance . 1 Copyright 2019, 2015, 2012, Pearson Education, Inc. Section 10.1 Goodness-of-Fit Test . 1 Copyright 2019, 2015, 2012, Pearson Education, Inc. Section 10.1 Objectives How to use the chi-square distribution to test whether a frequency distribution fits an expected distribution . 1 Copyright 2019, 2015, 2012, Pearson Education, Inc. Multinomial Experiments Multinomial experiment A probability experiment consisting of a fixed number of independent trials in which there are more than two possible outcomes for each trial. The probability for each outcome is fixed and each outcome is classified into categories. Recall that a binomial experiment has only two possible outcomes. . 1 Copyright 2019, 2015, 2012, Pearson Education, Inc. Multinomial Experiments A tax preparation company wants to determine the proportions of people who used different methods to prepare their taxes. It wants to test a previous retail trade association’s claim concerning the distribution of proportions of people who use different methods to prepare their taxes. It can compare the distribution of proportions obtained in the multinomial experiment with the previous survey’s specified distribution. It can perform a chi-square goodness-of-fit test. . 1 Copyright 2019, 2015, 2012, Pearson Education, Inc. Chi-Square Goodness-of-Fit Test Chi-Square Goodness-of-Fit Test Used to test whether a frequency distribution fits an expected distribution. The null hypothesis states that the frequency distribution fits an expected distribution. The alternative hypothesis states that the frequency distribution does not fit the expected distribution. . 1 Copyright 2019, 2015, 2012, Pearson Education, Inc. Multinomial Experiments Results of a survey of tax prepar