Question

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 233 suspected criminals is drawn. Of these people, 72 were captured. Using the data, construct the 80% 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.

Answer 1

We need to construct the 80% confidence interval for the population proportion. We have been provided with the following information about the number of favorable cases:

Favorable Cases X =	72
Sample Size N =	233

The sample proportion is computed as follows, based on the sample size N=233 and the number of favorable cases X=72:

The critical value for α=0.2 is . The corresponding confidence interval is computed as shown below:

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