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 1 of 2: Suppose a sample of 514 suspected criminals is drawn. Of these people, 164 were captured. Using the data, estimate the proportion of people who were caught after being on the 10 Most Wanted list. Enter your answer as a fraction or a decimal number rounded to three decimal places. Answer How to enter your answer (opens in new window)

Step 1 ：Suppose a sample of 514 suspected criminals is drawn. Of these people, 164 were captured. Using the data, estimate the proportion of people who were caught after being on the 10 Most Wanted list. Enter your answer as a fraction or a decimal number rounded to three decimal places.

Step 2 ：To solve this problem, we need to calculate the proportion of people who were caught after being on the 10 Most Wanted list. The proportion is calculated by dividing the number of people who were caught by the total number of people. In this case, the number of people who were caught is 164 and the total number of people is 514.

Step 3 ：\[\text{caught} = 164\]

Step 4 ：\[\text{total} = 514\]

Step 5 ：\[\text{proportion} = \frac{\text{caught}}{\text{total}} = \frac{164}{514} = 0.31906614785992216\]

Step 6 ：Final Answer: The estimated proportion of people who were caught after being on the 10 Most Wanted list is approximately \(\boxed{0.319}\).