A Random Sample of 160 Car Accidents Are Selected and Categorized

Short Answer

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