A recent poll of 1,235 randomly sampled likely voters shows your favorite candidate ahead, with 52.1% in

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A recent poll of 1,235 randomly sampled likely voters shows your favorite candidate ahead, with 52.1% in favor. There are two candidates. Use hypothesis testing to infer to the larger group of all likely voters.
a. Carefully identify the two-sided hypotheses.
b. Perform the hypothesis test at level 0.05 and give the result.
c. Make a careful, exact statement summarizing the result of the test and what it means.
d. Repeat parts b and c assuming that the percentage is 58.3% instead of 52.1%.
e. Explain why a one-sided test would be inappropriate here by showing that each of the three possible outcomes of a two-sided test would be of interest.
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