16. A mayoral election in Madison, Wisconsin, has two candidates. Exactly half the residents of the city currently prefer each candidate.

a) Find the probability that, for a random sample of 400 residents. at least 230 indicate a preference for one of the candidates or the other? This is also the P-value for testing Ho 5 against Ha: 7.5, where denotes the probability that a randomly selected voter prefers a particular candidate

b) For a random sample of 400 voters, 230 voted for a particular candidate. Are you will- ing to predict the outcome of the election? Why?

c) For a random sample of 40 voters, 23 voted for a particular candidate. Would you be willing to predict the outcome of the election? Why?