Question: Out of a random sample of 500 individuals who are planning to vote in a student council election, 260 plan on voting for Jefferson and 240 plan on voting for Smith.

(a) Construct a 95% confidence interval for the proportion of votes that Jefferson will receive, and make a conclusion about whether Jefferson will win the election.

(b) Calculate a z-score and interpret the probability (using 0.05 as the alpha level) in order to make a conclusion about whether Jefferson will win.

(c) Compare your results from a and b – do you think Jefferson will win the election?