11. Independent random samples of n 51265 1 and n 51688 2 observations were selected from binomial populations 1and 2, and 5849 and 5910 1 2 x x successes were observed.

a. Find a 99% confidence interval for the difference

(p 2 p ) 1 2 in the two population proportions. What does “ 99% confidence” mean?

b. Based on the confidence interval in part

a, can you conclude that there is a difference in the two binomial proportions? Explain