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 523 suspected criminals is drawn. Of these people, 172 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 1

Answer: The required proportion is $\dfrac{172}{523}$ in fraction and $0.329$ in decimals.

Step-by-step explanation:

Since we have given that

Number of suspected criminals is drawn = 523

Number of criminals were captured = 172

We need to find the proportion of people who were caught after being on the 10 Most wanted list.

So, Proportion of people who were caught is given by

$\dfrac{172}{523}\\\\=0.3288\\\\\approx 0.329$

Hence, the required proportion is $\dfrac{172}{523}$ in fraction and $0.329$ in decimals.