Twenty five independent pools of one thousand random people each are taken during the course of an extremely close election campaign. People in the poll are asked which of the two candidates they favor and the percentage who favor the incumbent candidate is computed for each poll

(a) Estimate the standard error and the margin of error for each of these polls. Justify your answer and briefly explain the difference between then

b) How large a poll sample would be required if a margin of error of only 10% was desired?

c) One of the other candidates approval ratings averaged around 48% over all the twenty five polls. If you compute the standard deviation of the list of all twenty five poll percentages for this candidate., approximately what number would you expert to get explain