4 Using your sample data conduct a hypothesis test at the al

4. Using your sample data, conduct a hypothesis test at the alpha = 0.05 significance level. You may assume that the population standard deviation is not known and that the population is approximately normally distributed a) Is there sufficient evidence to conclude that the mean number of wins for all teams is more than 75? (b) Using the critical value approach: State the conclusion of the hypothesis test and the reason for the conclusion. (c) Using the p-value approach: State the conclusion of the hypothesis test and the reason for the conclusion. (d) Assume that the null hypothesis is true. What is the probability of obtaining a test statistic equal to or more extreme than the one generated by the hypothesis test? (e) Will the conclusion of the hypothesis test be different if alpha is changed to 0.10 (while all other inputs remain the same)? Explain the reason why or why not.

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