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 54% 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. What is the probability that a candidate will be forecast as the winner when the population percentage of her vote is 50.1%? The probability is 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 56%? The probably is that a candidate will be forecast as the winner when the population percentage of her vote is 56%. (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 49% (and she will actually lose the election)? The probability is 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.) 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 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 that a candidate will be forecast as the winner when the population percentage of her vote is 56%. (Round to four decimal places as needed.) The probability is 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.) Choose the correct answer below. A. Increasing the sample size by a factor of 4 increases the standard error by a factor of 2. Changing the standard error doubles the magnitude of the standardized Z-value. O B. Increasing the sample size by a factor of 4 decreases the standard error by a factor of 2. Changing the standard error decreases the standardized Z-value to half of its original value. O C. Increasing the sample size by a factor of 4 increases the standard error by a factor of 2. Changing the standard error decreases the standardized Z-value to half of its original value. D. Increasing the sample size by a factor of 4 decreases the standard error by a factor of 2, Changing the standard error doubles the magnitude of the standardized Z-value