a. Is the sample size large enough for the CLT to apply? b. What is the sample statistic of interest? Provide notation and value. c. What are the null and alternative hypotheses for this test? d. Use the formula we learned based on the CLT to find the value of the Z Test Statistic. (HINT: See Slide 27 of the Ch. 6.1 PowerPoint for the formula!) e. Use StatKey to find the p-value for the Z Test Statistic. f. Rule on Ho and interpret your decision in the context of the question.

2. On November 8", Michigan voters will elect a (potentially) new governor. In the 2022 Michigan gubernatorial election, Republican Tudor Dixon is running to unseat incumbent Democrat Gretchen Whitmer. In a recent poll (n = 1285) conducted by YouGov/CBSNews*, 53% of Michiganders in the sample indicated that they planned to vote for Whitmer. Use this information to test the hypothesis that the majority of Michigan voters plan to vote to reelect Gretchen Whitmer. Use a = .01