Gambling is an issue of great concern to those involved in intercollegiate athletics. Because of this concern, the National Collegiate Athletic Association (NCAA) surveyed student-athletes concerning their gambling-related behaviors*. Of 5594 Division I male athletes surveyed, 3547 reported participation in some gambling behavior; of 3469 Division I female athletes surveyed, 1447 reported participation in some gambling behavior. This includes playing cards, betting on games of skill, buying lottery tickets, betting on sports, and similar activities.
Let pM and pF be the proportion of all Division I male and female athletes, respectively, who participate in gambling behavior.

Estimate pM - pF with a 95% confidence interval, where pM - pF is the difference in the proportions of Division I male and female student-athletes that participate in gambling behavior. NOTE: Calculate the sample proportions and to 3 decimal places; calculate the standard error to 5 decimal places. Use 4 decimal places in your answers for the lower and upper bounds.
lower bound
upper bound.