Question: According to a recent poll 53% of Americans would vote for the incumbent president.

a. If a random sample of 100 people results in 45% who would vote for the incumbent, test the claim that the actual percentage is 53%. Use a 0.10 significance level. Use the p-value approach to make your decision. (5 points)

b. Suppose a second sample is collected one month after the first with the results that out of 100 people, 36% would vote for the incumbent. Use a 0.10 significance level to test the claim that the actual percentage is 53%. Use the p-value approach to make your decision. (5 points)