Opinions about the death penalty The General Social Survey asked separate random samples

Chapter 11, Problem 50

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Opinions about the death penalty The General Social Survey asked separate random samples of people with only a high school degree and people with a bachelors degree, Do you favor or oppose the death penalty for persons convicted of murder? The following table gives the responses of people whose highest education was a high school degree and of people with a bachelors degree: Highest education level High school Bachelors degree Favor 1010 319 Oppose 369 185 We can test the hypothesis of no difference in support for the death penalty among people in these educational categories in two ways: with a twosample z test or with a chi-square test. (a) Minitab output for a chi-square test is shown below. State appropriate hypotheses and interpret the Pvalue in context. What conclusion would you draw? Chi-Square Test: C1, C2 Expected counts are printed below observed counts Chi-Square contributions are printed below expected counts C1 C2 Total 1 1010 319 1329 973.28 355.72 1.385 3.790 2 369 185 554 405.72 148.28 3.323 9.092 Total 1379 504 1883 Chi-Sq = 17.590, DF = 1, P-Value = 0.000 (b) Minitab output for a two-sample z test is shown below. Explain how these results are consistent with the test in part (a). Test for Two Proportions Sample X N Sample p 1 1010 1379 0.732415 2 319 504 0.632937 Difference = p (1) p (2) Estimate for difference: 0.0994783 Test for difference = 0 (vs not = 0): Z = 4.19 P-Value = 0.000 Multiple choice: Select the best answer for Exercises 51 to 56. Exercises 51 to 55 refer to the following setting. The National Longitudinal Study of Adolescent Health interviewed a random sample of 4877 teens (grades 7 to 12). One question asked was What do you think are the chances you will be married in the next ten years? Here is a two-way table of the responses by gender:28 Female Male Almost no chance 119 103 Some chance, but probably not 150 171 A 5050 chance 447 512 A good chance 735 710 Almost certain 1174 756

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