A Random Sample of 160 Car Purchases Are Selected and Categorized

Multiple Choice

A random sample of 160 car purchases are selected and categorized by age. The results are listed below. Theage 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. Calculate the chi-square test statistic ?2 to test the claimthat all ages have purchase rates proportional to their driving rates. Use ? = 0.05. $\begin{array}{l|cccc}\text { Age } & \text { Under 26 } & 26-45 & 46-65 & \text { Over } 65 \\\hline \text { Purchases } & 66 & 39 & 25 & 30\end{array}$

A) 75.101
B) 85.123
C) 101.324
D) 95.431