The long-term graduation rate for female athletes at a certain midwestern university is 72%. A random...
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The long-term graduation rate for female athletes at a certainmidwestern university is 72%. A random sample of female athletes atthis school over the past few years showed that 29 of 35 femalesathletes graduated.
(a) (10 pts) Test to determine if the proportion of femaleathletes who graduate from this school is greater than 72% at the0.05 level of significance.
(b) (5 pts) Suppose that a Type I error was made in thehypothesis test in part (a). Explain what a Type I error would bein the context of this problem. What is the probability ofcommitting a Type I error in this problem?
The long-term graduation rate for female athletes at a certainmidwestern university is 72%. A random sample of female athletes atthis school over the past few years showed that 29 of 35 femalesathletes graduated.
(a) (10 pts) Test to determine if the proportion of femaleathletes who graduate from this school is greater than 72% at the0.05 level of significance.
(b) (5 pts) Suppose that a Type I error was made in thehypothesis test in part (a). Explain what a Type I error would bein the context of this problem. What is the probability ofcommitting a Type I error in this problem?
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