An exit poll of 1126 voters in the 2014 New York gubernatorial election indicated that 55% voted for the Democratic candidate, Andrew Cuomo, with most of the rest voting for the Republican candidate, Rob Astorino.

(a) If actually 50% of the population voted for Cuomo, find the standard error of the sample proportion voting for him, for this exit poll. (Recall from Example 4.5 on page 80 that the population standard deviation is 0.50.)

(b) If actually 50% of the population voted for Cuomo, 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.