According to a simple random sample of 3026 civilian American workers, 18.1% of them have a minimum educational level of a bachelor's degree. (a) A news article claims that fewer than 20% of all civilian American workers possesses a bachelor's degree. Conduct a hypothesis test to determine if these data provide strong evidence supporting this statement. The hypotheses for this test are: H0H0: p = .2 HAHA: p > .2 H0H0: p = .2 HAHA: p ≠ .2 H0H0: p = .2 HAHA: p < .2 The test statistic is: (please write at least four decimal places) The p-value associated with this hypothesis test is: (please write at least four decimal places) What is the conclusion of the hypothesis test? Since p<α we fail to reject the null hypothesis Since p ≥ α we do not have enough evidence to reject the null hypothesis Since p<α we reject the null hypothesis and accept the alternative Since p ≥ α we accept the null hypothesis Since p ≥ α we reject the null hypothesis and accept the alternative Interpret the result of the test in the context of this study and article: The data do not provide sufficient evidence to claim that less than 20% of American civilian workers have a bachelor's degree The data provide sufficient evidence to claim that less than 20% of American civilian workers have a bachelor's degree (b) Would you expect a 95% confidence interval for the proportion of American civilian workers who possess a bachelor's degree to include 0.2? no yes

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

According to a simple random sample of 3026 civilian American workers, 18.1% of them have a minimum educational level of a bachelor's degree.

(a) A news article claims that fewer than 20% of all civilian American workers possesses a bachelor's degree. Conduct a hypothesis test to determine if these data provide strong evidence supporting this statement.
The hypotheses for this test are:

H0H0: p = .2
HAHA: p > .2
H0H0: p = .2
HAHA: p ≠ .2
H0H0: p = .2
HAHA: p < .2

The test statistic is: (please write at least four decimal places) The p-value associated with this hypothesis test is: (please write at least four decimal places) What is the conclusion of the hypothesis test?

Since p<α we fail to reject the null hypothesis
Since p ≥ α we do not have enough evidence to reject the null hypothesis
Since p<α we reject the null hypothesis and accept the alternative
Since p ≥ α we accept the null hypothesis
Since p ≥ α we reject the null hypothesis and accept the alternative

Interpret the result of the test in the context of this study and article:

The data do not provide sufficient evidence to claim that less than 20% of American civilian workers have a bachelor's degree
The data provide sufficient evidence to claim that less than 20% of American civilian workers have a bachelor's degree

(b) Would you expect a 95% confidence interval for the proportion of American civilian workers who possess a bachelor's degree to include 0.2?

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