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 1 of 2 :

Suppose a sample of 554 suspected criminals is drawn. Of these people, 322 were not captured. Using the data, estimate the proportion of people who were caught after being on the 1010 Most Wanted list. Enter your answer as a fraction or a decimal number rounded to three decimal places.

Answer 1

let us consider n = number of suspected criminals = 554

and x = number of suspected not captured = 322

the proportion of people who were caught after being on the 10 Most Wanted list=1 - proportion of number of suspected not captured

the proportion of people who were caught after being on the 10 Most Wanted list = = 0.401