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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.

- 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.

**a.**

To determine

Identify the null and alternative hypotheses for the given situation.

Here, the claim is that the unemployment rate is higher for 18- to 34-year-olds. This can be written as

**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.

STATISTICS F/BUSINESS+ECONOMICS-TEXT

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