### athletes with the Graduation Success Rate

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 percentage of eligible athletes who graduate within six years of entering college. According to the NCAA, the GSR for all scholarship athletes at Division I institutions is 63% (Inside Higher Ed , Nov. 10, 2006). It is well known that the GSR for all students at Division I colleges is 60%.

1. Suppose the NCAA report was based on a sample of 500 student–athletes, of which 315 graduated within six years. Is this sufficient information to conclude that the GSR for all scholarship athletes at Division I institutions differs from 60%? Test, using a = .01.
2. The GSR statistics were also broken down by gender and sport. For example, men’s Division I college basketball players had a GSR of 42% (compared with a known GSR of 58% for all male college students). Suppose this statistic was based on a sample of 200 male basketball players, of whom 84 graduated within six years. Is this sufficient information to conclude that the GSR for all male basketball players at Division I institutions differs from 58%? Test, using a = .01.