Test of Independence · Exercise 20

Car manufacturers are interested in whether there is a relationship between the size of car an individual drives and the number of people in the driver’s family (that is, whether car size and family size are independent). To test this, suppose that 800 car owners were randomly surveyed with the results in. Conduct a test of independence.

\begin{array}{|c|c|c|c|c|}\hline \text{Family Size} & \text{Sub & Compact} & \text{Mid-size} & \text{Full-size} & \text{Van & Truck} \\ \hline \text{1} & \text{20} & \text{35} & \text{40} & \text{35} \\ \hline \text{2} & \text{20} & \text{50} & \text{70} & \text{80} \\ \hline \text{3–4} & \text{20} & \text{50} & \text{100} & \text{90} \\ \hline \text{5+} & \text{20} & \text{30} & \text{70} & \text{70} \\ \hline\end{array}

This is an open-ended exercise: its source gives no single answer.

OpenStax, Introductory Business Statistics 2e · §11.4 Test of Independence · Exercise 20