Question: Table below summarizes responses from General Social Surveys in 2004 to the question (FEFAM), It is much better for everyone involved if the man is

Table below summarizes responses from General Social Surveys in 2004 to the question (FEFAM), "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." Let 1 denote the population proportion who agreed with this statement for females, and let 2 denote the population proportion for males.

Gender Agree Disagree Total

Male 153 257 410

Female 166 305 471

(a) Find 1 2, and its standard error.

(b) Find a 95% confidence interval for 1 2 and interpret it.

(c) Set up notation and specify hypotheses for the hypothesis of no difference between the population proportions of males and females. (d) Estimate the population proportion presuming H0, find the standard error of the sample difference of proportions, and find the test statistic. (e) Find the P-value for the two-sided alternative. Interpret.

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