Refer to the previous exercise. In 2014, of 745 male respondents, 247 (33.2%) agreed. Of 910 female

Question:

Refer to the previous exercise. In 2014, of 745 male respondents, 247 (33.2%) agreed. Of 910 female respondents, 268 (29.5%) agreed.

(a) Set up notation and specify hypotheses for the hypothesis of no difference between the population proportions of males and of females who would agree.

(b) Estimate the population proportion presuming H0, 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 1032 respondents having less education than a college degree, 37.1% agreed. Of 623 respondents having at least a college degree, 21.2% agreed.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 those with and without a degree? Explain.

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