Exhibit 11-8
An insurance company selected samples of clients under 18 years of age and over 18 and recorded the number of accidents they had in the previous year. The results are shown below.
$\begin{array}{ll}
\text { Under Age of 18}&\text { Over Age of 18}\
\mathrm{n}_{1}=500 & \mathrm{n}_{2}=600 \
\text { Number of accidents }=180 & \text { Number of accidents }=150
\end{array}$
We are interested in determining if the accident proportions differ between the two age groups.
-Refer to Exhibit 11-8. The pooled proportion is
A) 0.305
B) 0.300
C) 0.027
D) 0.450

Question

Exhibit 11-8
An insurance company selected samples of clients under 18 years of age and over 18 and recorded the number of accidents they had in the previous year. The results are shown below.
 $\begin{array}{ll}
\text { Under Age of 18}&\text { Over Age of 18}\
\mathrm{n}_{1}=500 & \mathrm{n}_{2}=600 \
\text { Number of accidents }=180 & \text { Number of accidents }=150
\end{array}$
 We are interested in determining if the accident proportions differ between the two age groups.
-Refer to Exhibit 11-8. The pooled proportion is
A) 0.305
B) 0.300
C) 0.027
D) 0.450

Quizplus · Accepted Answer

To find the pooled proportion, we first need to calculate the total number of accidents and total number of clients in both age groups:

Total accidents under 18: 25 + 36 = 61
Total clients under 18: 82

Total accidents over 18: 52 + 28 = 80
Total clients over 18: 140

Total accidents: 61 + 80 = 141
Total clients: 82 + 140 = 222

Pooled proportion = (total accidents) / (total clients) = 141 / 222 = 0.300

Therefore, the answer is B) 0.300.

Exhibit 11-8 an Insurance Company Selected Samples of Clients Under

Exhibit 11-8
an Insurance Company Selected Samples of Clients Under