Suppose that the unemployment rate for 18- to 34-year-olds was reported to be 10.6%. 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. H0: p ≤ 0.079 Ha: p > 0.079 H0: p > 0.079 Ha: p ≤ 0.079 H0: p < 0.079 Ha: p ≥ 0.079 H0: p ≥ 0.079 Ha: p < 0.079 H0: p = 0.079 Ha: p ≠ 0.079 (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 ? = 0.05, what is your conclusion? Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. Reject H0. We can conclude that the unemployment rate for 18- to 34-year-olds is significantly higher than the national unemployment rate of 7.9% for all adults.Do not reject H0. We can conclude that the unemployment rate for 18- to 34-year-olds is significantly higher than the national unemployment rate of 7.9% for all adults. Do not reject H0. We can not conclude that the unemployment rate for 18- to 34-year-olds is significantly higher than the national unemployment rate of 7.9% for all adults.Reject H0. We can not conclude that the unemployment rate for 18- to 34-year-olds is significantly higher than the national unemployment rate of 7.9% for all adults. (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. The observed level of significance is ?, therefore the results statistically significant. At the given ? we reject the null hypotheses and conclude that sufficient evidence to support the conclusion the proportion of adults aged 18 to 34 who were unemployed was higher than the national unemployment rate for all adults.

Suppose that the unemployment rate for 18- to 34-year-olds was reported to be 10.6%. 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. H0: p ≤ 0.079 Ha: p > 0.079 H0: p > 0.079 Ha: p ≤ 0.079 H0: p < 0.079 Ha: p ≥ 0.079 H0: p ≥ 0.079 Ha: p < 0.079 H0: p = 0.079 Ha: p ≠ 0.079 (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 ? = 0.05, what is your conclusion? Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. Reject H0. We can conclude that the unemployment rate for 18- to 34-year-olds is significantly higher than the national unemployment rate of 7.9% for all adults.Do not reject H0. We can conclude that the unemployment rate for 18- to 34-year-olds is significantly higher than the national unemployment rate of 7.9% for all adults. Do not reject H0. We can not conclude that the unemployment rate for 18- to 34-year-olds is significantly higher than the national unemployment rate of 7.9% for all adults.Reject H0. We can not conclude that the unemployment rate for 18- to 34-year-olds is significantly higher than the national unemployment rate of 7.9% for all adults. (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. The observed level of significance is ?, therefore the results statistically significant. At the given ? we reject the null hypotheses and conclude that sufficient evidence to support the conclusion the proportion of adults aged 18 to 34 who were unemployed was higher than the national unemployment rate for all adults.

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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Suppose that the unemployment rate for 18- to 34-year-olds was reported to be 10.6%. 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.

H₀: p ≤ 0.079

H_a: p > 0.079

H₀: p > 0.079

H_a: p ≤ 0.079

H₀: p < 0.079

H_a: p ≥ 0.079

H₀: p ≥ 0.079

H_a: p < 0.079

H₀: p = 0.079

H_a: p ≠ 0.079

(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

? = 0.05,

what is your conclusion?

Find the value of the test statistic. (Round your answer to two decimal places.)

Find the p-value. (Round your answer to four decimal places.)

p-value =

State your conclusion.

Reject H₀. We can conclude that the unemployment rate for 18- to 34-year-olds is significantly higher than the national unemployment rate of 7.9% for all adults.Do not reject H₀. We can conclude that the unemployment rate for 18- to 34-year-olds is significantly higher than the national unemployment rate of 7.9% for all adults. Do not reject H₀. We can not conclude that the unemployment rate for 18- to 34-year-olds is significantly higher than the national unemployment rate of 7.9% for all adults.Reject H₀. We can not conclude that the unemployment rate for 18- to 34-year-olds is significantly higher than the national unemployment rate of 7.9% for all adults.

(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.

The observed level of significance is ?, therefore the results statistically significant. At the given ? we reject the null hypotheses and conclude that sufficient evidence to support the conclusion the proportion of adults aged 18 to 34 who were unemployed was higher than the national unemployment rate for all adults.

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