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.

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Answer:

[tex]H_0:p=0.73\\\\ H_a:p\neq0.78[/tex]

Step-by-step explanation:

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

Alternative hypothesis [tex]H_a[/tex] : 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.

[tex]H_0:p=0.73\\\\ H_a:p\neq0.78[/tex]

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