A random sample of 160 car crashes are selected and categorized by age. 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 critical value χ $$\chi _ { 0 } ^ { 2 }$$ to test the claim that all ages have
Crash rates proportional to their driving rates. Use $$\alpha = 0.05$$ $$\begin{array} { l | c c c c }
\text { Age } & \text { Under 26 } & 26 - 45 & 46 - 65 & \text { Over } 65 \
\hline \text { Drivers } & 66 & 39 & 25 & 30
\end{array}$$
A)7.815
B)6.251
C)11.143
D)9.348

Question

A random sample of 160 car crashes are selected and categorized by age. 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 critical value χ $$\chi _ { 0 } ^ { 2 }$$ to test the claim that all ages have
Crash rates proportional to their driving rates. Use $$\alpha = 0.05$$ $$\begin{array} { l | c c c c } 
\text { Age } & \text { Under 26 } & 26 - 45 & 46 - 65 & \text { Over } 65 \
\hline \text { Drivers } & 66 & 39 & 25 & 30
\end{array}$$
A)7.815
B)6.251
C)11.143
D)9.348

Quizplus · Accepted Answer

The degrees of freedom for this chi-square test are calculated as the number of categories minus one, which is 4 - 1 = 3. For a chi-square test with 3 degrees of freedom and a significance level of $\alpha = 0.05$, the critical value is 7.815.

A Random Sample of 160 Car Crashes Are Selected and Categorized