According to the National Institute of Occupational Safety and Health, job stress poses a major threat to
Question:
According to the National Institute of Occupational Safety and Health, job stress poses a major threat to the health of workers. A national survey of restaurant employees found that 75% said that work stress had a negative impact on their personal lives. A sample of 100 employees of a restaurant chain finds that 68 answer “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 of this chain who would say “Yes” differs from the national proportion of 0.75?
a) State the null hypothesis and the alternative hypothesis.
b) What is the value of the test statistic in this problem? Explain how you obtain your answer.
c) What is the p -value associated with the test statistic in this problem? Explain how you obtain your answer.
d) Using a 3% level of significance, what would be your decision in the hypothesis test? Justify your answer.
e) What would be a 97% confidence interval for the population proportion?
Expert Answer:
