The FBI wants to determine the effectiveness of their 10 Most Wanted list. To do so, they need to find out the fraction of people who appear on the list that are actually caught. Step 2 of 2 : Suppose a sample of 1753 suspected criminals is drawn. Of these people, 683 were captured. Using the data, construct the 99% confidence interval for the population proportion of people who are captured after appearing on the 10 Most Wanted list. Round your answers to three decimal places.

The 99% confidence interval for the population proportion of people who are captured after appearing on the 10 Most Wanted list is (0.367, 0.413)

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 which

z is the zscore that has a pvalue of .

For this problem, we have that:

99% confidence level

So , 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 99% confidence interval for the population proportion of people who are captured after appearing on the 10 Most Wanted list is (0.367, 0.413)

correct

step-by-step explanation:

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