Question

Suppose that a national survey finds that 73 percent of restaurant employees say that work stress has a negative impact on their personal lives. A random sample of 200 employees of a large restaurant chain finds that 141 employees say that work stress has a negative impact on their personal lives. (a) Formulate the null and alternative hypotheses needed to attempt to provide evidence that the percentage of work-stressed employees for the restaurant chain differs from the national percentage.

Answer 1

`H_0:p=0.73\\\\ H_a:p\\eq0.78`

Explanation:

Null Hypothesis
`H_0` : Hypothesis that indicates that there is no significant statistical difference between the population parameter and the sample statistic.

Alternative hypothesis
`H_a` : It is the statement that logically opposite of the null hypothesis.

Let p be population proportion of restaurant employees say that work stress has a negative impact on their personal lives.

By considering the given information, we have

The null and alternative hypotheses needed to attempt to provide evidence that the percentage of work-stressed employees for the restaurant chain differs from the national percentage.

`H_0:p=0.73\\\\ H_a:p\\eq0.78`