7.14. Table 7.11 summarizes responses from General Social Surveys in 1977 and in 2006 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 tti denote the population proportion who agreed with this statement in 1977, and let ^

denote the population proportion in 2006.

(a) Show that tti - 77-2 = 0.30, with standard error 0.0163.

(b) Show that the 95% confidence interval for tti — tti is (0.27, 0.33). Interpret.

(c) Explain how results would differ for comparing the proportions who did not agree in the two years.

TABLE 7.11 Year Agree Disagree Total 1977 989 514 1503 2006 704 1264 1968