Test of Independence · Exercise 26

Suppose that 600 thirty-year-olds were surveyed to determine whether or not there is a relationship between the level of education an individual has and salary. Conduct a test of independence.

\begin{array}{|c|c|c|c|c|}\hline \text{Annual salary} & \text{Not a high school graduate} & \text{High school graduate} & \text{College graduate} & \text{Masters or doctorate} \\ \hline \text{< $30,000} & \text{15} & \text{25} & \text{10} & \text{5} \\ \hline \text{}30,000–\\text{40,000} & \text{20} & \text{40} & \text{70} & \text{30} \\ \hline \text{}40,000–\\text{50,000} & \text{10} & \text{20} & \text{40} & \text{55} \\ \hline \text{}50,000–\\text{60,000} & \text{5} & \text{10} & \text{20} & \text{60} \\ \hline \text{$60,000+} & \text{0} & \text{5} & \text{10} & \text{150} \\ \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 26