19. A national television network samples 1400 voters after each has cast a vote in a state gubernatorial election Of these 1400 voters, 742 claim to have voted for the Democratic candidate and 658 for the Republican candidate. There are only two candidates in the election.

a) Assuming that each sampled voter actually voted as claimed and that the sample is a random sample from the population of all voters, is there enough evidence to predict the winner of the election? Base your decision on a 95% confidence interval.

b) Base your decision on a 99% confidence interval Explain why it requires greater ev- idence to make a prediction when we require greater confidence of being correct.