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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

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

5454%

of the vote in the sample, that candidate will be forecast as the winner of the election. You select a random sample of

100100

voters. Complete parts (a) through (d).

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Part 1

a.

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

50.150.1%?

The probability is

0.21770.2177

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

50.150.1%.

(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

5656%?

The probability is

0.65540.6554

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

5656%.

(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

4949%

(and she will actually lose the election)?

The probability is

0.15870.1587

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

4949%.

(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.

ndidate will be forecast as the winner when the population percentage of her vote is

50.150.1%.

(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

56%

(Round to four decimal places as needed.)

JUST NEED HELP WITH PART D (PART 5)

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