Five Hundred Randomly Selected Automobile Owners Were Questioned on the Main

Essay

Five hundred randomly selected automobile owners were questioned on the main reason they had purchased their current automobile. The results are given below.
$\begin{array}{lcccc}&\text { Styling } &\text { Engineering} &\text {Fuel Economy }&\text {Total }\\\text { Male } & 70 & 130 & 150 & 350 \\\text { Female } & \underline{30} & \underline{20} & \underline{100} & \underline{150} \\\text { Total } &100&150 &250&500\end{array}$

a. State the null and alternative hypotheses for a contingency table test.
b. State the decision rule for the critical value approach. Let ? = .01.
c. Calculate the ?2 test statistic.
d. Give your conclusion for this test.