In a newspaper exit poll of 1500 voters in the 2015 general election in an emerging nation, let x = number of voters in the exit poll who voted for a candidate, Mr. X.

(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 him had been 0.30, 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 = 550. Explain how you could make an inference about whether π is above or below 0.30.