6 22.15 Do our athletes graduate? The National Collegiate Athletic Association (NCAA) requires colleges to report the graduation rates of their athletes. At one large university, 78% of all students who entered in 2004 graduated within six years. One hundred thirty-seven of the 190 students who entered with athletic scholarships graduated. Consider these 190 as a sample of all athletes who will be admitted under present policies. Is there evidence that the percentage of athletes who graduate is less than 78

(d) Explain in words what the parameter p is in this setting.

(e) What are the null and alternative hypotheses H0 and Ha? (f) What is the numerical value of the sample proportion? The P-value is the probability of what event?

(g) The P-value is P = 0.025. Explain why this P-value indicates there is some reason to think that graduation rates are lower among athletes than among all students.