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In an election, a news agency plans to collect a voter sample to determine the percentage of votes a candidate will receive. The agency find 40 persons vote for the candidate in a sample of 100 voters. (a) Can the agency conclude that the candidate will receive less than 50% of votes in the election at the a = 0.05 level of significance? (b) In the test of (a), what is the power of test if the true percentage of votes is 45%?

In an election, a news agency plans to collect a voter sample to determine the percentage of votes a candidate will receive. The agency find 40 persons vote for the candidate in a sample of 100 voters. (a) Can the agency conclude that the candidate will receive less than 50% of votes in the election at the a = 0.05 level of significance? (b) In the test of (a), what is the power of test if the true percentage of votes is 45%?

Microeconomic Theory
Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter19: Externalities And Public Goods
Section: Chapter Questions
Problem 19.12P
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In an election, a news agency plans to collect a voter sample to determine the percentage of votes a candidate will receive. The agency find 40 persons vote for the candidate in a sample of 100 voters. (a) Can the agency conclude that the candidate will receive less than 50% of votes in the election at the a = 0.05 level of significance? (b) In the test of (a), what is the power of test if the true percentage of votes is 45%?
Transcribed Image Text:In an election, a news agency plans to collect a voter sample to determine the percentage of votes a candidate will receive. The agency find 40 persons vote for the candidate in a sample of 100 voters. (a) Can the agency conclude that the candidate will receive less than 50% of votes in the election at the a = 0.05 level of significance? (b) In the test of (a), what is the power of test if the true percentage of votes is 45%?
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