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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≠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

Describe a Type II error in this setting.

In planning a study of the birth weights of babies whose mothers did not see a doctor

before delivery, a researcher states the hypotheses as

H0:x¯=1000gramsHa:x¯<1000grams

Does this paper give convincing evidence that the mean amount of sugar in the hindguts under these conditions is not equal to 7mg? Justify your answer.

A change is made that should improve student satisfaction with the parking situation at your school. Right now, 37% of students approve of the parking that’s provided. The null hypothesis H0:p^=0.37is tested against the alternativeHd:p^≠0.37.

After checking that conditions are met, you perform a significance test of H0:μ=1versus Hα:μ≠1. You obtain a Pvalue of 0.022. Which of the following is true?

(a) A95%confidence interval for μwill include the value 1

(b) A 95%confidence interval forμwill include the value 0.

(c) A99% confidence interval forμwill include the value 1

(d) A 99%confidence interval for μwill include the value 0

(e) None of these is necessarily true.
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