1. Slide 11- 1 Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved. Active Learning Lecture Slides For use with Classroom Response Systems Elementary Statistics Eleventh Edition and the Triola Statistics Series by Mario F. Triola Chapter 11: Goodness-of-Fit and Contingency Tables

2. Slide 11- 2 Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved. In studying the responses to a multiple-choice test question, the following sample data were obtained. At the 0.05 significance level, test the claim that the responses occur with the same frequency. A. Reject the null hypothesis. B. Fail to reject the null hypothesis. ResponseABCDE Frequency1215161819

3. Slide 11- 3 Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved. In studying the responses to a multiple-choice test question, the following sample data were obtained. At the 0.05 significance level, test the claim that the responses occur with the same frequency. A. Reject the null hypothesis. B. Fail to reject the null hypothesis. ResponseABCDE Frequency1215161819

4. Slide 11- 4 Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved. A company manager wishes to test a union leaders claim that absences occur on the different week days with the same frequencies. Test this claim at the 0.05 level of significance if the following data have been compiled. A. Reject the null hypothesis. B. Fail to reject the null hypothesis. DayMonTueWedThurFri Absences3715122343

5. Slide 11- 5 Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved. A company manager wishes to test a union leaders claim that absences occur on the different week days with the same frequencies. Test this claim at the 0.05 level of significance if the following data have been compiled. A. Reject the null hypothesis. B. Fail to reject the null hypothesis. DayMonTueWedThurFri Absences3715122343

6. Slide 11- 6 Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved. Tests for adverse reactions to a new drug yielded the results given in the table. At the 0.05 significance level, test the claim that the treatment (drug or placebo) is independent of the reaction (whether or not headaches were experienced). A. Reject the null hypothesis. B. Fail to reject the null hypothesis. DrugPlacebo Headaches117 No Headaches7391

7. Slide 11- 7 Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved. Tests for adverse reactions to a new drug yielded the results given in the table. At the 0.05 significance level, test the claim that the treatment (drug or placebo) is independent of the reaction (whether or not headaches were experienced). A. Reject the null hypothesis. B. Fail to reject the null hypothesis. DrugPlacebo Headaches117 No Headaches7391

8. Slide 11- 8 Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved. Responses to a survey question are broken down according to employment status and the sample results are given below. At the 0.10 significance level, test the claim that response and employment status are independent. A. Reject the null hypothesis. B. Fail to reject the null hypothesis. YesNoUndecided Employed30155 Unemployed202510

9. Slide 11- 9 Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved. Responses to a survey question are broken down according to employment status and the sample results are given below. At the 0.10 significance level, test the claim that response and employment status are independent. A. Reject the null hypothesis. B. Fail to reject the null hypothesis. YesNoUndecided Employed30155 Unemployed202510