Graduation rates of student-athletes. Are student-

Chapter 7, Problem 139SE

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Graduation rates of student-athletes. Are student-athletes at Division I universities poorer students than nonathletes? The National Collegiate Athletic Association (NCAA) measures the academic outcomes of student-athletes with the Graduation Success Rate (GSR). The GSR is measured as the percentage of eligible athletes who graduate within 6 years of entering college. It is well known that the GSR for all students at Division I colleges is 60%.

a. Suppose the NCAA reports that in a sample of 500 student-athletes, 315 graduated within 6 years. Is this sufficient information to conclude that the GSR for all student-athletes at Division I institutions differs from 60%? Test using \(\alpha\)=.01

b. The GSR statistics are also broken down by gender and sport. It is known that the GSR for all male college students is 58%. In a sample of 200 male basketball players at Division I institutions, 84 graduated within 6 years. Is this sufficient information to conclude that the GSR for all male basketball players at Division I institutions differs from 58%? Test using \(\alpha\)=.01

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QUESTION:

Graduation rates of student-athletes. Are student-athletes at Division I universities poorer students than nonathletes? The National Collegiate Athletic Association (NCAA) measures the academic outcomes of student-athletes with the Graduation Success Rate (GSR). The GSR is measured as the percentage of eligible athletes who graduate within 6 years of entering college. It is well known that the GSR for all students at Division I colleges is 60%.

a. Suppose the NCAA reports that in a sample of 500 student-athletes, 315 graduated within 6 years. Is this sufficient information to conclude that the GSR for all student-athletes at Division I institutions differs from 60%? Test using \(\alpha\)=.01

b. The GSR statistics are also broken down by gender and sport. It is known that the GSR for all male college students is 58%. In a sample of 200 male basketball players at Division I institutions, 84 graduated within 6 years. Is this sufficient information to conclude that the GSR for all male basketball players at Division I institutions differs from 58%? Test using \(\alpha\)=.01

ANSWER:

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   Given that, the GSR measured as the percentage of eligible athletes who graduate within 6 years of entering college. It is well known that the GSR for all students at division I college is 60%.

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