Employees with substance abuse problems. According to the

Chapter 6, Problem 117SE

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QUESTION:

Employees with substance abuse problems. According to the New Jersey Governor’s Council for a Drug-Free Workplace Report, 50 of the 72 sampled businesses that are members of the council admitted that they had employees with substance abuse problems. At the time of the survey, 251 New Jersey businesses were members of the Governor’s Council. Use the finite population correction factor to find a 95% confidence interval for the proportion of all New Jersey Governor’s Council business members who have employees with substance abuse problems. Interpret the resulting interval.

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QUESTION:

Employees with substance abuse problems. According to the New Jersey Governor’s Council for a Drug-Free Workplace Report, 50 of the 72 sampled businesses that are members of the council admitted that they had employees with substance abuse problems. At the time of the survey, 251 New Jersey businesses were members of the Governor’s Council. Use the finite population correction factor to find a 95% confidence interval for the proportion of all New Jersey Governor’s Council business members who have employees with substance abuse problems. Interpret the resulting interval.

ANSWER:

Solution :

Step 1 of 1:

Given the New Jersey business were member of the Governor's Council is 251.

So N = 251.

Then the number of council admitted that they had employ is 50.

So x=50.

We know that the sample size n=72.

Our goal is:

We need to find a 95% confidence interval for the proportion of all New Jersey Governor’s Council business members who have employees with substance abuse problems.

Now we have to find a 95% confidence interval for the proportion of all New Jersey Governor’s Council business members who have employees with substance abuse problems.

The formula for

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