The mayor of a large city will run for governor if he believes that more than 30 percent of the voters in the state already support him. He will have a survey firm ask a random sample of n voters whether or not they support him. He will use a large sample test for proportions to test the null hypothesis that the proportion of all voters who support him is 30 percent or less against the alternative that the percentage is higher than 30 percent. Suppose that 35 percent of all voters in the state actually support him. In which of the following situations would the power for this test be highest? The mayor uses a significance level of 0.01 and n = 250 voters. The mayor uses a significance level of 0.01 and n = 250 voters. A The mayor uses a significance level of 0.01 and n = 500 voters. The mayor uses a significance level of 0.01 and n = 500 voters. B The mayor uses a significance level of 0.01 and n = 1,000 voters. The mayor uses a significance level of 0.01 and , n, = 1,000 voters. C The mayor uses a significance level of 0.05 and n = 500 voters. The mayor uses a significance level of 0.05 and n = 500 voters. D The mayor uses a significance level of 0.05 and n = 1,000 voters. The mayor uses a significance level of 0.05 and n = 1,000 voters. E

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Description: The mayor of a large city will run for governor if he believes that more than 30 percent of the voters in the state already support him. He will have a survey firm ask a random sample of n voters whether or not they support him. He will use a large s

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section: Chapter Questions

Problem 8CR

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The mayor of a large city will run for governor if he believes that more than 30 percent of the voters in the state already support him. He will have a survey firm ask a random sample of n voters whether or not they support him. He will use a large sample test for proportions to test the null hypothesis that the proportion of all voters who support him is 30 percent or less against the alternative that the percentage is higher than 30 percent. Suppose that 35 percent of all voters in the state actually support him. In which of the following situations would the power for this test be highest?

The mayor uses a significance level of 0.01 and n = 250 voters.

The mayor uses a significance level of 0.01 and n = 250 voters.

A
The mayor uses a significance level of 0.01 and n = 500 voters.

The mayor uses a significance level of 0.01 and n = 500 voters.

B
The mayor uses a significance level of 0.01 and n = 1,000 voters.

The mayor uses a significance level of 0.01 and , n, = 1,000 voters.

C
The mayor uses a significance level of 0.05 and n = 500 voters.

The mayor uses a significance level of 0.05 and n = 500 voters.

D
The mayor uses a significance level of 0.05 and n = 1,000 voters.

The mayor uses a significance level of 0.05 and n = 1,000 voters.

E

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