Suppose that in elections, a candidate says that he'll get 60% of the votes in the election. The total population is 300 persons and the whole campaign team (20 persons) is going to vote for him. To verify his claim the campaign team decided that their going to take a randomized sample of 25 persons and in this sample 20 persons will vote for the candidate.
a) With this results, is it possible to prove the claim of the candidate?
b) The candidate wants more guarantees, this is due to the fact that the sample is identical to the number of people in his campapign team, what would you say to the candidate so he could trust in the results? Back your claims with quantitative information.
c) If the number of people that voted for the candidate in the sample is 0, do you think that this could be used as a proof to contradict the candidate's pronostic? Back your claims with quatitative information.