Test of Independence · Exercise 23

For each problem, use a solution sheet to solve the hypothesis test problem. Go to Appendix E for the chi-square solution sheet. Round expected frequency to two decimal places.

College students may be interested in whether their majors have any effect on starting salaries after graduation. Suppose that 300 recent graduates were surveyed as to their majors in college and their starting salaries after graduation. shows the data. Conduct a test of independence.

\begin{array}{|c|c|c|c|}\hline \text{Major} & \text{< $50,000} & \text{}50,000–\\text{68,999} & \text{$69,000 +} \\ \hline \text{English} & \text{5} & \text{20} & \text{5} \\ \hline \text{Engineering} & \text{10} & \text{30} & \text{60} \\ \hline \text{Nursing} & \text{10} & \text{15} & \text{15} \\ \hline \text{Business} & \text{10} & \text{20} & \text{30} \\ \hline \text{Psychology} & \text{20} & \text{30} & \text{20} \\ \hline\end{array}

This exercise builds on another exercise in its source book, which isn't shown here.

OpenStax, Statistics · §11.3 Test of Independence · Exercise 23