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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 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. ine propapiity is 0.8461 that a canaidate will be forecast as the winner wnen the popuiation percentage of ner vote is 59%. (Round to four decimal places as needed.) 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 0.1587 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 0.0594 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 0.9790 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.) 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.)

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. ine propapiity is 0.8461 that a canaidate will be forecast as the winner wnen the popuiation percentage of ner vote is 59%. (Round to four decimal places as needed.) 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 0.1587 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 0.0594 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 0.9790 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.) 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.)

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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 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. ine propabiity is 0.8461 that a canaidate will be forecast as the winner wnen the popuiation percentage of ner vote is 59%. (Round to four decimal places as needed.) 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 0.1587 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 0.0594 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 0.9790 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.) 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.)
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 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. ine propabiity is 0.8461 that a canaidate will be forecast as the winner wnen the popuiation percentage of ner vote is 59%. (Round to four decimal places as needed.) 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 0.1587 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 0.0594 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 0.9790 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.) 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.)
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