A political pollster is conducting an analysis of sample results in order to make predictions on election night. Assuming a two-candidate election, if a specific candidate receives at least 55% of the vote in the sample, that candidate will be forecast as the winner of the election. If you select a random sample of 100 voters, what is the probability that a candidate will be forecast as the winner when:___. a. the population percentage of her vote is 50.1%?
b. the true percentage of her vote is 60%?
c. the true percentage of her vote is 49% (and she will actually lose the election)?
d. find a 95% confidence interval of the true percentage of her vote, if 55 voters in the sample of 100 indicated that they voted for her.
e. if 55% of a sample of 300 indicated that they have voted for her, is there sufficient evidence at 90% level of confidence that she has won the election? (Hint: If 0.5 or less is within the C. I., then no).