An exit poll of 547 voters in the state election indicated that 55% voted for Candidate X, with most of the rest voting for Candidate Y.

(a) If actually 50% of the population voted for Candidate X, find the standard error of the sample proportion voting for this candidate, for this exit poll. (Recall from Example 4.5 on page 92 that the population standard deviation is 0.50.)

(b) If actually 50% of the population voted for Candidate Y, would it have been surprising to obtain the results in this exit poll?Why?

(c) Based on your answer in (b), would you be willing to predict the outcome of this election? Explain.