The General Social Survey (GSS) asked separate random samples of people with only a high school degree and people with a bachelor’s degree, “Do you favor or oppose the death penalty for persons convicted of murder?” Of the 1379 people with only a high school degree, 1010 favored the death penalty, while 319 of the 504 people with a bachelor’s degree favored the death penalty. 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 two-sample z test or with a chi-square test.

a. State appropriate hypotheses for a chi-square test.

b. Here is Minitab output for a chi-square test. Interpret the P-value. What conclusion would you draw?

c. Here is Minitab output for a two-sample z test. Explain how these results are consistent with the test in part (a).

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Chi-Square Test: HS, Bachelor Expected counts are printed below observed counts Chi-Square contributions are printed below expected counts HS Bachelor Total Favor 1010 319 1329 973.28 355.72 1.385 3.790 Oppose 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