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. Construct a 95% confidence interval for the proportion of votes that Jefferson will receive, and make a conclusion about Jefferson winning election.
Calculate a z-score and interpret the probability (using .05 as the alpha level) in order to make a conclusion about weather Jefferson will win. Lastly, Will Jefferson will probably win the election.