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 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. 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 (alpha=0.05) , what is your conclusion? Explain to the campaign manager what can be said about the observed level of significance for the hypothesis testing results using the p-value.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 3E
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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 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. 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 (alpha=0.05) , what is your conclusion?

  3. 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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