Question
A celebrity will run for governor if she she finds that more than 35 percent of the voters in her state will vote for her.
A celebrity will run for governor if she she finds that more than 35 percent of the voters in her state will vote for her. She will have a professional survey team ask a random sample of n voters whether or not they plan to vote for her. She will use a hypothesis test for proportions to test the null hypothesis that the proportion of all voters who support her is 35 percent. Suppose that 40 percent of all voters in the state actually support her. In which of the following situations would the power of this test be highest.
A) The statistician uses a significance level of 0.02 and n = 1,500 voters.
B) The statistician uses a significance level of 0.01 and n = 1,000 voters.
C) The statistician uses a significance level of 0.04 and n = 1,500 voters.
D) The statistician uses a significance level of 0.02 and n = 1,000 voters.
E) The statistician uses a significance level of 0.04 and n = 1,000 voters.
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