The table below summarizes responses from General social Surveys in 1980 and in 2016 to the statement "is much better for everyone involved if the man is the achiever outside the home and the woman takes cat the home and family. " Let 1 denote the population proportion who agreed with this statement in 1980, and let2 denote the population proportion in 2016.

(a) Calculate the 95 % confidence interval.

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

TABLE

YearAgree Disagree Total

1980 796 4861282

2016 456 11151571