The Congressional Budget Office reports that 36% of federal civilian employees have a bachelor's degree or higher (The Wall Street Journal). A random sample of 115 employees in the private sector showed that 32 have a bachelor's degree or higher. Does this indicate that the percentage of employees holding bachelor's degrees or higher in the private sector is less than in the federal civilian sector? Use ? = 0.05. What are we testing in this problem? single mean or single proportion What is the level of significance? State the null and alternate hypotheses. H0: ? = 0.36; H1: ? ≠ 0.36 H0: p ≥ 0.36; H1: p < 0.36 H0: ? ≥ 0.36; H1: ? < 0.36 H0: ? ≤ 0.36; H1: ? > 0.36 H0: p ≤ 0.36; H1: p > 0.36 H0: p = 0.36; H1: p ≠ 0.36 What sampling distribution will you use? The Student's t or The standard normal. What is the value of the sample test statistic? (Round your answer to two decimal places.) Estimate the P-value. P-value > 0.250 0.125 < P-value < 0.250 0.050 < P-value < 0.125 0.025 < P-value < 0.050 0.005 < P-value < 0.025 P-value < 0.005 Will you reject or fail to reject the null hypothesis? Are the data statistically significant at level ?? A.At the ? = 0.05 level, we reject the null hypothesis and conclude the data are statistically significant. b.At the ? = 0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant. C.At the ? = 0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant. d.At the ? = 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant. Interpret your conclusion in the context of the application. A.There is sufficient evidence at the 0.05 level to conclude that the proportion of bachelor or higher degrees in the private sector is less than in the federal civilian sector. b. There is insufficient evidence at the 0.05 level to conclude that the proportion of bachelor or higher degrees in the private sector is less than in the federal civilian sector.

The Congressional Budget Office reports that 36% of federal civilian employees have a bachelor's degree or higher (The Wall Street Journal). A random sample of 115 employees in the private sector showed that 32 have a bachelor's degree or higher. Does this indicate that the percentage of employees holding bachelor's degrees or higher in the private sector is less than in the federal civilian sector? Use ? = 0.05. What are we testing in this problem? single mean or single proportion What is the level of significance? State the null and alternate hypotheses. H0: ? = 0.36; H1: ? ≠ 0.36 H0: p ≥ 0.36; H1: p < 0.36 H0: ? ≥ 0.36; H1: ? < 0.36 H0: ? ≤ 0.36; H1: ? > 0.36 H0: p ≤ 0.36; H1: p > 0.36 H0: p = 0.36; H1: p ≠ 0.36 What sampling distribution will you use? The Student's t or The standard normal. What is the value of the sample test statistic? (Round your answer to two decimal places.) Estimate the P-value. P-value > 0.250 0.125 < P-value < 0.250 0.050 < P-value < 0.125 0.025 < P-value < 0.050 0.005 < P-value < 0.025 P-value < 0.005 Will you reject or fail to reject the null hypothesis? Are the data statistically significant at level ?? A.At the ? = 0.05 level, we reject the null hypothesis and conclude the data are statistically significant. b.At the ? = 0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant. C.At the ? = 0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant. d.At the ? = 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant. Interpret your conclusion in the context of the application. A.There is sufficient evidence at the 0.05 level to conclude that the proportion of bachelor or higher degrees in the private sector is less than in the federal civilian sector. b. There is insufficient evidence at the 0.05 level to conclude that the proportion of bachelor or higher degrees in the private sector is less than in the federal civilian sector.

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter11: Data Analysis And Displays

Section11.3: Shapes Of Distributions

Problem 14E

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The Congressional Budget Office reports that 36% of federal civilian employees have a bachelor's degree or higher (The Wall Street Journal). A random sample of 115 employees in the private sector showed that 32 have a bachelor's degree or higher. Does this indicate that the percentage of employees holding bachelor's degrees or higher in the private sector is less than in the federal civilian sector? Use ? = 0.05.

What are we testing in this problem?

single mean or single proportion

What is the level of significance?

State the null and alternate hypotheses.

H₀: ? = 0.36; H₁: ? ≠ 0.36

H₀: p ≥ 0.36; H₁: p < 0.36

H₀: ? ≥ 0.36; H₁: ? < 0.36

H₀: ? ≤ 0.36; H₁: ? > 0.36

H₀: p ≤ 0.36; H₁: p > 0.36

H₀: p = 0.36; H₁: p ≠ 0.36

What sampling distribution will you use?

The Student's t or The standard normal.

What is the value of the sample test statistic? (Round your answer to two decimal places.)

Estimate the P-value.

P-value > 0.250

0.125 < P-value < 0.250

0.050 < P-value < 0.125

0.025 < P-value < 0.050

0.005 < P-value < 0.025

P-value < 0.005

Will you reject or fail to reject the null hypothesis? Are the data statistically significant at level ??

A.At the ? = 0.05 level, we reject the null hypothesis and conclude the data are statistically significant.

b.At the ? = 0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant.

C.At the ? = 0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.

d.At the ? = 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant.

Interpret your conclusion in the context of the application.

A.There is sufficient evidence at the 0.05 level to conclude that the proportion of bachelor or higher degrees in the private sector is less than in the federal civilian sector.

b. There is insufficient evidence at the 0.05 level to conclude that the proportion of bachelor or higher degrees in the private sector is less than in the federal civilian sector.

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