The December 21, 2004, USA Today article

“On the Path to Problem Gambling: National Survey Shows Casinos, Slots and Lotteries Attract Youth Into Potentially Addictive Habit” reported on a poll of 200 male and 199 female teenagers, aged 14 to 17. The findings reported were that 66% of the male teenagers have “ever gambled”

and that 37% of the female teenagers have “ever gambled.” The poll was sponsored by the 2003 Annenberg National Risk Survey of Youth.

a. Find the point estimate, the maximum error of estimate, and the 95% confidence interval that results from a binomial experiment with n  200 and observed success proportion 0.66.

b. Find the point estimate, the maximum error of estimate, and the 95% confidence interval that results from a binomial experiment with n  199 and observed success proportion 0.37.

c. Compare the resulting confidence intervals and make a statement based on the two intervals comparing male and female teenage gambling habits.