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Chapter 9: Q.2.1 (page 558)

According to the National Institute for Occupational Safety and Health, job stress poses a major threat to the health of workers. In a national survey of restaurant employees, 75% said that work stress had a negative impact on their personal lives. 11 Managers of a large restaurant chain wonder whether this national result holds for their employees. A random sample of 100 employees finds that 68 answered "Yes" when asked, "Does work stress have a negative impact on your personal life?" Is this good reason to think that the proportion of all employees in this chain who would say "Yes" differs from the national proportion of 0.75? Support your answer with a significance test.

Short Answer

Expert verified

Yes the proportion of all employees in this chain who would say "Yes" differs from the national proportion of0.75 as there is enough evidence to support this.

Step by step solution

01

Introduction

Work pressure can be characterized as the destructive physical and close to home reactions that happen when the necessities of the gig don't match the abilities, assets, or requirements of the labourer. Work pressure can prompt chronic weakness and even injury.

02

Explanation

The sample size is n = 100

Confidence level is 95%

population proportion is 0.75

Calculating the null and alternative hypotheses

H0:p=0.75Ha:p鈮�0.75

Using a calculator we get the p-value is larger than the significance level.

Hence, the null hypothesis is not rejected and there is enough evidence to support this.

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Most popular questions from this chapter

The Survey of Study Habits and Attitudes (SSHA) is a psychological test that measures

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(a) Gallup dialed landline telephone numbers at random and so missed all people without landline phones, including people whose only phone is a cell phone.

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Tests and CIs The P-value for a one-sided test of the null hypothesisH0:渭=15is 0.03.

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(b) Does the 95%confidence interval for 渭include 15? Why or why not?

Explain in plain language why a significance test that is significant at the 1% level must always be significant at the 5% level. If a test is significant at the 5% level, what can you say about its significance at the 1% level?

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