A political pollster is conducting an analysis of sample resultsin order to make predictions on election night. Assuming a​two-candidate election, if a specific candidate receives at least54% of the vote in the​ sample, that candidate will be forecast asthe winner of the election. You select a random sample of 100voters. Complete parts​ (a) through​ (c) below.

a.

The probability is ______ that a candidate will be forecast asthe winner when the population percentage of her vote is50.1​%.

b.

The probability is _____that a candidate will be forecast as thewinner when the population percentage of her vote is 56​%

c.

Whatis the probability that a candidate will be forecast as the winnerwhen the population percentage of her vote is 49​% ​(and she will actually lose the​ election)? d. The probability is _____ that a candidate will be forecast asthe winner when the population percentage of her vote is50.1​%. The probability is_____that a candidate will be forecast as thewinner when the population percentage of her vote is 56​%. The probability is ______that a candidate will be forecast asthe winner when the population percentage of her vote is 49​%. E. Choose the correct answer below. A. Increasing the sample size by a factor of 4 increases thestandard error by a factor of 2. Changing the standard errordoubles the magnitude of the standardized​ Z-value. B. Increasing the sample size by a factor of 4 decreases thestandard error by a factor of 2. Changing the standard errordecreases the standardized​ Z-value to half of its originalvalue. C. Increasing the sample size by a factor of 4 increases thestandard error by a factor of 2. Changing the standard errordecreases the standardized​ Z-value to half of its originalvalue. D. Increasing the sample size by a factor of 4 decreases thestandard error by a factor of 2. Changing the standard errordoubles the magnitude of the standardized​ Z-value.