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The unemployment rate for 18- to 34-year-olds was reported to be 10.8% ( The Cincinnati Enquirer, November 6, 2012). Assume that this report was based on a random sample of four hundred 18- to 34-year-olds. a. A political campaign manager wants to know if the sample results can be used to conclude that the unemployment rate for 18- to 34-years-olds is significantly higher than the unemployment rate for all adults. According to the Bureau of Labor Statistics, the unemployment rate for all adults was 7.9%. Develop a hypothesis test that can be used to see if the conclusion that the unemployment rate is higher for 18- to 34-year-olds can be supported. b. Use the sample data collected for the 18- to 34-year-olds to compute the p-value for the hypothesis test in part (a). Using α = .05, what is your conclusion? c. Explain to the campaign manager what can be said about the observed level of significance for the hypothesis testing results using the p -value.

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STATISTICS F/BUSINESS+ECONOMICS-TE...

13th Edition
Anderson
Publisher: CENGAGE L
ISBN: 9781305881884

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Chapter
Section
BuyFindarrow_forward

STATISTICS F/BUSINESS+ECONOMICS-TE...

13th Edition
Anderson
Publisher: CENGAGE L
ISBN: 9781305881884
Chapter 9, Problem 71SE
Textbook Problem
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The unemployment rate for 18- to 34-year-olds was reported to be 10.8% (The Cincinnati Enquirer, November 6, 2012). Assume that this report was based on a random sample of four hundred 18- to 34-year-olds.

  1. a. A political campaign manager wants to know if the sample results can be used to conclude that the unemployment rate for 18- to 34-years-olds is significantly higher than the unemployment rate for all adults. According to the Bureau of Labor Statistics, the unemployment rate for all adults was 7.9%. Develop a hypothesis test that can be used to see if the conclusion that the unemployment rate is higher for 18- to 34-year-olds can be supported.
  2. b. Use the sample data collected for the 18- to 34-year-olds to compute the p-value for the hypothesis test in part (a). Using α = .05, what is your conclusion?
  3. c. Explain to the campaign manager what can be said about the observed level of significance for the hypothesis testing results using the p-value.

a.

To determine

Identify the null and alternative hypotheses for the given situation.

Explanation of Solution

Here, the claim is that the unemployment rate is higher for 18- to 34-year-olds. This can be written as p>0.079. The complement of the claim is p0.079. In the given experiment, the alternative hypothesis indicates the claim

b.

To determine

Find the p-value and state the conclusion.

c.

To determine

Explain to the campaign manager about the observed level of significance for the hypothesis testing results using p-value.

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Chapter 9 Solutions

STATISTICS F/BUSINESS+ECONOMICS-TEXT
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