In a major football conference, a sample showed that only 267 out of 584 freshmen players graduated

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In a major football conference, a sample showed that only 267 out of 584 freshmen players graduated within 6 years.

(a) At α = .05, does this sample contradict the claim that at least half graduate within 6 years? State your hypotheses and decision rule.

(b) Calculate the p-value and interpret it.

(c) Do you think the difference is important, as opposed to significant?

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