Discuss the below:
Q: In the Big Ten (the NCAA sports league) a sample showed that only 267 out of 584 freshmen 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?
1. Identify the Null and Research Hypothesis, test the former; and based on the results of test, must infer the latter.
2. Identify the statistical test perform; identify the level of risk in incorrectly rejecting the Null Hypothesis (also called my "alpha value" or p-value), and identify the critical value of the statistical test based on this "alpha value" or "p-value"