Five hundred randomly selected automobile owners were questioned on the main reason they had purchased their current automobile. The results are given below.
Styling. Engineering. Fuel Economy. Total
Male. 70. 130. 150 350
Female 30 20 100 150
Total 100 150 250 500
a. State the null and alternative hypotheses for an independence test.
b. State the decision rule for the critical value approach. Let α = .01.
c. Calculate the χ2 test statistic.
d. Give your conclusion for this test.
Please show working.