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%?
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Question
![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%?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faff2ad4a-3451-4e37-9e19-289a2459964e%2F8b91e855-eebc-419b-b394-0f04c2b79715%2Fw5gz78d_processed.png&w=3840&q=75)
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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