Question

The FBI wants to determine the effectiveness of their 1010 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 368368 suspected criminals is drawn. Of these people, 265265 were not captured. Using the data, construct the 80%80% confidence interval for the population proportion of people who are captured after appearing on the 1010 Most Wanted list. Round your answers to three decimal places.

Answer 1

Given that, n = 368 and x = 265

=> sample proportion = 265 / 368 = 0.7201

A 80% confidence level has significance level of 0.20 and critical value is,

The 80% confidence interval for the population proportion is,

Therefore, required confidence interval is (0.690, 0.750)

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