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. 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 .1635 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.) 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 .7920 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.) 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 .1151 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 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.) C.
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. 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 .1635 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.) 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 .7920 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.) 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 .1151 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 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.) C.
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 50E: Flexible Work Hours In a recent survey, people were asked whether they would prefer to work flexible...
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Transcribed Image Text: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.
...
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 .1635 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.)
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 .7920 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.)
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)?
C.
The probability is .1151 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 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.)
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