In: Statistics and Probability
In a General Social Survey on women’s role and in response to the question,
"It is much better for everyone involved if the man is the achiever outside the
home and the woman takes care of the home and family." 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 Ho, 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 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?
yes the opinion tend to differ more between men and women or between the most and least educated