Chapter 10.1, Problem 13E

Performing a Chi-Square Goodness-of-Fit Test In Exercises 7−16, (a) identify the claim and state H₀ and H_a, (h) find the critical value and identify the rejection region, (c) find the chi-square test statistic, (d) decide whether to reject or fail to reject the null hypothesis, and (e) interpret the decision in the context of the original claim.

13. College Education The pie chart shows the results of a survey in which U.S. parents were asked their opinions on whether a college education is worth the expense. An economist claims that the distribution of the opinions of U.S. teenagers is different from the distribution given for U.S. parents. To test this claim, you randomly select 200 U.S. teenagers and ask each whether a college education is worth the expense. The table shows the results. At α = 0.05, test the economist’s claim. (Adapted from Upromise, Inc.)

Survey results
Response	Frequency, f
Strongly agree	86
Somewhat agree	62
Neither agree nor disagree	34
Somewhat disagree	14
Strongly disagree	4