2 (20 points) In an election, a news agency plans to collect a voter sample to...

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2 (20 points) 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 = 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%? 2 (20 points) 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 = 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%?