Guns: Two Polls

In 2013 a Gallup Poll reported that about 40% of people say they have a gun in their home.

In the same year, a Pew Poll reported that about 33% of people say they have a gun in their home. Assume that each used a sample size of 1000. Do these polls disagree?

Assume that both polls are based on random samples with independent observations.

a. Test the hypothesis that the two population proportions are different using a significance level of 0.05, and show all four steps.

b. Using methods learned in Chapter 7, estimate the difference in the two population proportions using a 95% confidence interval, and comment on what this says about the null hypothesis in part a.