In aCNNexit poll of 1336 voters in the 2006 Senatorial election in NewYork State, let x =number in exit poll who voted for the Democratic candidate, Hillary Clinton.

(a) Explain why this scenario would seem to satisfy the three conditions needed to use the binomial distribution.

(b) If the population proportion voting for Clinton had been 0.50, find the mean and standard deviation of the probability distribution of x.

(c) For (b), using the normal distribution approximation, give an interval in which x would almost certainly fall.

(d) Now, actually the exit poll had x = 895. Explain how you could make an inference about whether π is above or below 0.50.