A political pollster is conducting an analysis of sample results in order to make predictions on election night Assuming a two-cand date election, if a specific candidate receives at least 53%% of the vote in the sample, that candidate will be forecast as the winner of the election. You select a random sample of 100 voters. Complete parts (a) through (c) below. The probability is 0 2810 that a candidate will be forecast as the winner when the population percentage of her vote is 50 1% (Round to four decimal places as needed.) What is the probability that a candidate will be forecast as the winner when the population percentage of her vote is 57%? The probability is 0.7910 that a candidate will be forecast as the winner when the population percentage of her vote is 57%. (Round to four decimal places as needed ) C. What is the probability that a candidate will be forecust as the winner when the population percentage of her vote is 49% (and she will actually lose the election)? The probability is 0.2119 that a candidate will be forecast as the winner when the population percentage of her vote is 49%. (Round to four decimal places as needed.) d. Suppose that the sample size was increased to 400. Repeat process (a) through (c), using this new sample size Comment on the difference. The probability is 0.1230 that a candidate will be forecast as the winner when the population percentage of her vote is 50.1%% (Round to four decimal places as needed The probability is 0.94/4 that a candidate will be forecast as the winner when the population percentage of her vote is 57% (Round to four decimal places as needed. ) The probebilly is 0.5471 that a candidate will be forecast as the winner when the population percentage of her vote is 49%. (Round to four decimal places as needed.)