Test for Homogeneity · Try It 1

Do families and singles have the same distribution of cars? Use a level of significance of 0.05. Suppose that 100 randomly selected families and 200 randomly selected singles were asked what type of car they drove: sport, sedan, hatchback, truck, van/SUV. The results are shown in. Do families and singles have the same distribution of cars? Test at a level of significance of 0.05.

$$\begin{array}{cccccc}& \text{Sport}& \text{Sedan}& \text{Hatchback}& \text{Truck}& \text{Van/SUV}\\ \text{Family}& \text{5}& \text{15}& \text{35}& \text{17}& \text{28}\\ \text{Single}& \text{45}& \text{65}& \text{37}& \text{46}& \text{7}\end{array}$$

Its source prints no answer for this problem, so there's nothing to check against.

OpenStax, Introductory Statistics 2e · §11.4 Test for Homogeneity · Try It 1