Back to 11.3 Test of Independence

11.3 Exercise 36

Avg difficulty 2.5

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.

Suppose that 600 thirty-year-olds were surveyed to determine whether there is a relationship between the level of education an individual has and salary. Conduct a test of independence.

Annual Salary Not a High School Graduate High School Graduate College Graduate Masters or Doctorate
< $30,000 15 25 10 5
$30,000–$40,000 20 40 70 30
$40,000–$50,000 10 20 40 55
$50,000–$60,000 5 10 20 60
$60,000+ 0 5 10 150

OpenStax Statistics, 11.3 Test of Independence, exercise 36

AI Tutor

Adapted from Statistics © 2022 Rice University. Licensed under CC BY 4.0. Source: Statistics. Imported at revision 7dea80a.