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. You select a random sample of

100

voters. Complete parts (a) through (c) below.

Question content area bottom

Part 1

a.	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

enter your response here

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.)

Part 2

b.	What is the probability that a candidate will be forecast as the winner when the population percentage of her vote is 59%?

The probability is

enter your response here

that a candidate will be forecast as the winner when the population percentage of her vote is

59%.

(Round to four decimal places as needed.)

Part 3

c.	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

enter your response here

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.)

Part 4

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

enter your response here

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.)

Part 5

The probability is

enter your response here

that a candidate will be forecast as the winner when the population percentage of her vote is

59%.

(Round to four decimal places as needed.)

Part 6

The probability is

enter your response here

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.)

Part 7

Choose the correct answer below.