The following table summarizes responses from GSS in 1977 and 2006 to the question, "It is much better for everyone involved if the man is the achiever outside the family and the woman takes care of the home and family."

Let 1 denote the population proportion who agreed with this statement in 1977, and let 2 denote the population proportion who agreed with this statement in 2006.

a. Find a 95% confidence interval for the difference in the two proportions.

b. Is there significant evidence (at the level of 5% ) that the two proportions differ?

State the null and alternate hypotheses, and report the value of the test statistic and the critical value used to conduct the test.

Report your decision regarding the null hypothesis and your conclusion in the context of the problem.

Year	Agree	Disagree	Total
1977	989	514	1503
2006	704	1264	1968