5.7 The General Social Survey asks whether you agree or disagree with the following statement: "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." The sample proportion agreeing was 0.66 in 1977 and 0.31 in 2014 (n=1655)

a) Show that the estimated standard error in 2014 was 0.011.

b) Construct the 95% confidence interval for 2014, and interpret it.

5.9 When a 2015 Pew Research study (www.pewresearch.org) asked whether there is solid evidence of global warming, 92% of liberal Democrats said yes whereas 38% of conservative Republicans said yes. For Republicans, if n = 200, find and interpret a

a)95%

b)99% confidence interval for a relevant parameter.

5.15 A 2012 report by the Centers for Disease Control provided a point estimate of 18.1% for the percentage of adult Americans who currently smoke cigarettes. The sample size was 34,525. Assuming that this sample has the characteristics of a random sample, construct and interpret a 99% confidence interval for the population proportion of smokers. (Note: When n is very large, even confidence intervals with large confidence levels are narrow.)