A Quinnipiac poll conducted on February 20, 2018, found that 824 people out of 1249 surveyed favored stricter gun control laws. A survey conducted one week later on February 28, 2018, by National Public Radio found that 754 out of 1005 people surveyed favored stricter gun control laws.

a. Find both sample proportions and compare them.

b. Test the hypothesis that the population proportions are not equal at the 0.05 significance level.

c. After conducting the hypothesis test, a further question one might ask is what is the difference between the two population proportions? Find a 95% confidence interval for the difference between the two proportions and interpret it. How does the confidence interval support the hypothesis test conclusion?