3D PLEASE!!!!!!!!!!!!!!!

2. (10 points) In a survey of 400 likely voters, 215 responded that they would vote for the incumbent and 185 responded that they would vote for the challenger. Let p denote the fraction of all likely voters that preferred the incumbent at the time of the survey, and let p be the fraction of survey respondents that preferred the incumbent. a. Use the survey results to estimate p. b. Use the estimator of the variance of p, PC-P, to calculate the standard error of your estimator. c. What is the p - value for the test Ho : p = 0.5 vs. H1 : p / 0.5. (Hint: use the Z statistic) d. Did the survey contain statistically significant evidence at the 10% that the incumbent was ahead of the challenger at the time of the survey? Explain. 3. (10 points) Using the same set up as in the previous exercise: a. Construct a 95% confidence interval for p. b. "Construct a 99% confidence interval for p. c. Why is the interval in b) wider than the interval in a)? d. Without doing any additional calculations, test the hypothesis Ho : p = 0.51 vs. H1 : p / 0.51 at the 1% significance level