Question

based on the results above, what proportion of the randomly sampled people are over age 12 years?
a $\frac{900}{3500}$
b $\frac{1300}{3500}$
c $\frac{1200}{3500}$
d $\frac{2300}{3500}$
e $\frac{1000}{3500}$

Explanation:

Step1: Identify relevant totals

The total number of people sampled is 3500. The number of people in the age - groups 13 - 18 years and 19 years and older needs to be summed.

Step2: Calculate number of people over 12 years

The number of people in the 13 - 18 years age - group is 1300 and in the 19 years and older age - group is 1000. So the number of people over 12 years is \(1300 + 1000=2300\).

Step3: Calculate the proportion

The proportion of people over 12 years is \(\frac{\text{Number of people over 12}}{\text{Total number of people sampled}}=\frac{2300}{3500}\).

Answer:

D. \(\frac{2300}{3500}\)