Chapter 11.2, Problem 23E

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.

23. Youth Physical Fitness According to a recent survey, 64% of Americans between the ages of 6 and 17 years cannot pass a basic fitness test. A physical education instructor wishes to determine if the percentages of such students in different schools in his school district are the same. He administers a basic fitness test to 120 randomly selected students in each of four schools. The results are shown here. At α = 0.05, test the claim that the proportions who pass the test are equal.

Source: The Harper’s Index Book.