Question: A survey of 1055 registered voters is conducted, and the voters are asked to choose between candidate A and candidate B. Let p denote the fraction of voters in the population who prefer candidate A, and let denote the fraction of voters in the sample who prefer Candidate A.
c. Suppose that the survey is carried out 20 times, using independently selected voters in each survey. For each of these 20 surveys, a 95% confidence interval for p is constructed.
i. What is the probability that the true value of p is contained in all 20 of these confidence intervals?
ii How many of these confidence intervals do you expect to contain the true value of p?
