Gambling is an issue of great concern to those involved in intercollegiate athle
ID: 3182780 • Letter: G
Question
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. 1321 out of a total of 3402 female student-athletes reported participation in some gambling activity.
03 points I Previous Answers MIntroStat6 8 E,012. My Notes Ask Your Teacher 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. 1321 out of a total of 3402 female student-athletes reported participation in some gambling activity. (a) Use the large-sample methods to find an estimate of the true proportion with a 99% confidence interval. (Round your answers to three decimal places Lower Enter a number. Upper limit (b) The margin of error for this sample is not the same as the margin of error for male athletes. There were 5594 males in the study, and p was found to be 1. Explain why the margin of error differs. O The margin of error for males is smaller because the sample size is smaller. O The margin of error for males is larger because p is larger. O The margin of error for males is smaller because the sample size is larger. O The margin of error for males and females are the same. Submit AnswerExplanation / Answer
a) here point estimate p=1321/3402 =0.3883 and n=3402
std error =(p(1-p)/n)1/2 =0.0084
for 99% CI z=2.5758
hence confidence interval =point estimate -/+ z*std error
lower limit =0.367
upper limit =0.410
b) margin of error for males is smaller because the sample size is larger
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