# SOLUTION: In the Big Ten (NCAA sports league) a sample showed that only 267 out of 584 freshman football players graduated within 6 years. (a)At a= .05 does this sample contradict the claim

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 Question 205359This question is from textbook A pplied Statistics in Business and Economics, by Doane and Seward : In the Big Ten (NCAA sports league) a sample showed that only 267 out of 584 freshman football players graduated within 6 years. (a)At a= .05 does this sample contradict the claim that at least half graduate within 6 years? State the hypothesis and decision rule , calculate the p- value and interpret it. DO you think the difference is important, as to significant? I am not sure how to plug in the formula for the p-valueThis question is from textbook A pplied Statistics in Business and Economics, by Doane and Seward Answer by stanbon(57285)   (Show Source): You can put this solution on YOUR website!In the Big Ten (NCAA sports league) a sample showed that only 267 out of 584 freshman football players graduated within 6 years. (a)At a= .05 does this sample contradict the claim that at least half graduate within 6 years? State the hypothesis and decision rule , calculate the p- value and interpret it. DO you think the difference is important, as to significant? I am not sure how to plug in the formula for the p-value ------------------------------------------------------- Ho: p >= 0.5 (Claim) Ha: p < 0.5 ------------------ sample proportion: 267/584 = 0.457.. test statistic: z(0.457) = (0.0457-0.5)/sqrt[0.5*0.5/584] = -0.0428/0.0207 = -2.068 P-value: P(z<-2.068)= 0.01932 Interpret the p-value: Only 1.93% of test results could have provided stronger evidence for rejecting Ho. The evidence for rejecting Ho is significance. -------------------------------------------- Cheers, Stan H.