Chapter 8.4, Problem 18E

For Exercises 5 through 20, perform each of the following steps.

a. State the hypotheses and identify the claim.

b. Find the critical value(s).

c. Compute the test value.

d. Make the decision.

e. Summarize the results.

Use the traditional method of hypothesis testing unless otherwise specified.

18. Doctoral Students’ Salaries Nationally, at least 60% of Ph.D. students have paid assistantships. A college dean feels that this is not true in his state, so he randomly selects 50 Ph.D. students and finds that 26 have assistantships. At α = 0.05, is the dean correct?

Source: U.S. Department of Education, Chronicle of Higher Education.