Question

A political pollster is conducting an analysis of sample results in order to make predictions on election night. Assuming a two-candidate election, if a specific candidate receives at least 55% of the vote in the sample, then that candidate will be forecast as the winner of the election.

If a random sample of 100 voters is selected, what is the probability that a candidate will be forecast as the winner when

a. the true percentage of her vote is 50.1%?

b. If the number of samples is increased to 400, what is the answer to question (a) above

Answer 1