The article "Most Women Oppose Having to Register for the Draft"† describes a survey of likely voters in the United States. The article states that 36% of those in a representative sample of male likely voters and 21% of those in a representative sample of female likely voters said that they thought the United States should have a military draft. Suppose that these percentages were based on random samples of 550 men and 550 women. The article also reported that 53% of the Republicans surveyed indicated that they were opposed to making women register for the draft. Would you use the large-sample test for a difference in population proportions to test the hypothesis that a majority of Republicans are opposed to making women register for the draft? Explain why or why not. a.) Yes, I would use the large-sample test for a difference in population proportions because the two samples are large enough. b.) Yes, I would use the large-sample test for a difference in population proportions because the two samples are independent representative samples. c.) No, I would not use the large-sample test for a difference in population proportions because this question is phrased as a one-proportion hypothesis test. d.) No, I would not use the large-sample test for a difference in population proportions because the two samples are not large enough. e.) No, I would not use the large-sample test for a difference in population proportions because this question is phrased as a confidence interval for the proportions.

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 article "Most Women Oppose Having to Register for the Draft"† describes a survey of likely voters in the United States. The article states that 36% of those in a representative sample of male likely voters and 21% of those in a representative sample of female likely voters said that they thought the United States should have a military draft. Suppose that these percentages were based on random samples of 550 men and 550 women.

The article also reported that 53% of the Republicans surveyed indicated that they were opposed to making women register for the draft. Would you use the large-sample test for a difference in population proportions to test the hypothesis that a majority of Republicans are opposed to making women register for the draft? Explain why or why not.

a.) Yes, I would use the large-sample test for a difference in population proportions because the two samples are large enough.

b.) Yes, I would use the large-sample test for a difference in population proportions because the two samples are independent representative samples.

c.) No, I would not use the large-sample test for a difference in population proportions because this question is phrased as a one-proportion hypothesis test.

d.) No, I would not use the large-sample test for a difference in population proportions because the two samples are not large enough.

e.) No, I would not use the large-sample test for a difference in population proportions because this question is phrased as a confidence interval for the proportions.

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