## Suppose that in a random sample of 300 employed Americans, there are 57 individuals who say that they would fire their boss if they could. C

Question

Suppose that in a random sample of 300 employed Americans, there are 57 individuals who say that they would fire their boss if they could. Calculate a 95% confidence interval for the population proportion. Write a sentence or two that interprets this interval.

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2021-09-15T22:21:41+00:00
2021-09-15T22:21:41+00:00 1 Answer
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## Answers ( )

Answer:The 95% confidence interval for the population proportion is (0.1456, 0.2344). This means that we are 95% sure that the true proportion of employed American who say that they would fire their boss if they could is between 0.1456 and 0.2344.

Step-by-step explanation:In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of , we have the following

confidence interval of proportions.In whichz is the zscore that has a pvalue of .

For this problem, we have that:95% confidence levelSo , z is the value of Z that has a pvalue of , so .

The lower limit of this interval is:The upper limit of this interval is:The 95% confidence interval for the population proportion is (0.1456, 0.2344). This means that we are 95% sure that the true proportion of employed American who say that they would fire their boss if they could is between 0.1456 and 0.2344.