In the Big Ten (the NCAA sports league), a sample showed that only 267 out of 584

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In the Big Ten (the NCAA sports league), a sample showed that only 267 out of 584 fresh- men football 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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