A random sample of 160 car purchases 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. Calculate the chi-square test statistic x^2 to test the claim that all ages have purchase rates proportional to their driving rates. Use α = 0.05. Age Under 26 26-45 46-65 65 or older Purchases 66 39 25 30
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