A Random Sample of 160 Car Accidents Are Selected and Categorized

Multiple Choice

A random sample of 160 car accidents are selected and categorized by the age of the driver determined to be at fault. The results are listed below. The age distribution of drivers for the giver categories is $18 \%$ for the under 26 group, $39 \%$ for the $26 - 45$ group, $31 \%$ for the 45 - 65 group, and $12 \%$ for the group over 65 . Find the rejection region used to test the claim that all ages have crash rates proportional to their number of drivers. Use $\alpha = 0.05$ .

$\begin{array}{l|cccc}\text { Age } & \text { Under 26 } & 26-45 & 46-65 & \text { Over } 65 \\\hline \text { Drivers } & 66 & 39 & 25 & 30\end{array}$

A) $x ^ { 2 } > 7.815$
B) $\chi ^ { 2 } > 11.143$
C) $x ^ { 2 } > 6.251$
D) $\chi ^ { 2 } > 9.348$