Chapter 11.2, Problem 15E

For Exercises 7 through 31, perform the following steps.

a. State the hypotheses and identify the claim.

b. Find the critical value.

c. Compute the test value.

d. Make the decision.

e. Summarize the results.

Use the traditional method of hypothesis testing unless otherwise specified. Assume all assumptions are valid.

15. Student Majors at Colleges The table shows the number of students (in thousands) participating in various programs at both twoyear and four-year institutions. At α = 0.05, can it be concluded that there is a relationship between program of study and type of institution?

	Two-year	Four-year
Agriculture and related sciences	36	52
Criminal justice	210	231
Foreign languages and literature	28	59
Mathematics and statistics	28	62

Source: Time Almanac.