In an election for President of the United States, a pollster wishes to predict the winner of the popular vote. She will do this by taking a random sample of 1000 voters and ask each to disclose who he/she will vote for. Assume the election is a dichotomous choice between a Republican candidate and Democrat candidate and that the proportion of voters in the population who will vote for the Republican candidate is 0.48 (meaning the Democrat would win the election).
(a) Explain why randomly selecting 1000 voters from the population of registered voters and asking each to disclose the candidate he/she supports is a binomial experiment. What are the values of n, the number of trials, and p, the probability of success?

(b) What proportion of the 2000 simulations resulted in a poll that suggests the Republican would win the election?
(c) Repeat this simulation for a random sample of 1500 voters. Explain why the results differ.