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Question 5 In a survey of 400 likely voter, 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 who preferred the incumbent at the time of the survey, and let 15 be the fraction of survey respondents who preferred the incumbent. I Use the survey results to estimate p. 150-1?) I Use the estimator of the variance of 13 (given by n ) to calculate the standard error of your estimator. I Construct a 95% condence interval for p I Construct a 99% condence interval for p I Explain why the 99% interval is wider than the 95% one