DON'T BET ON IT Gambling and point-shaving is a long-running, chronic problem in college sports, particularly basketball. 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. Perform a hypothesis test to determine if there is a difference in the proportions of Division I male and female student-athletes who participate in gambling behavior. Let Pm and pf be the proportion of all Division I male and female athletes, respectively, who participate in gambling behavior. Calculate sample proportions to 3 decimal places; calculate the standard error to 5 decimal places. Question 1. Calculate the value of the test statistic for this hypothesis test (the answer is rather large). Question 2. If the significance level a = .05 is used, what is the rejection region for this hypothesis test? Z < Z> lower bound upper bound Question 3. What is your conclusion for this hypothesis test? O Reject Ho and conclude that the proportions of male and female Division I athletes that particpate in gambling behavior are different. O Since the sample sizes were quite large, we cannot reject Ho. O Although pm and p differ in value, they do not differ enough to reject Ho.