7.15. Refer to the previous exercise on a woman'srole. In 2004, of 411 male respondents, 153 (37.2%)
Question:
7.15. Refer to the previous exercise on a woman'srole. In 2004, of 411 male respondents, 153 (37.2%) replied yes. Of 472 female respondents, 166 (35.2%)
replied yes.
(a) Set up notation and specify hypotheses for the hypothesis of no difference between the population proportions of males and of females who would respond yes.
(b) Estimate the population proportion presuming Hq, find the standard error of the sample difference of proportions, and find the test statistic.
(c) Find the P-value for the two-sided alternative.
Interpret.
(d) Of 652 respondents having less education than a college degree, 40.0% replied yes. Of 231 respondents having at least a college degree, 7Koran el al.. Amer. J. Psychiatry, vol. 163,2006, p. 1806.
25.6% replied yes. Which variable, gender or educational level, seems to have had the greater influence on opinion? In other words, did opinion tend to differ more between men and women or between the most and least educated?
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