The pie chart shows the distribution of the opinions of U.S. parents 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 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.

(a) Identify the expected distribution and state H₀ and H_a,

(b) 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,

(e) Interpret the decision in the context of the original claim.

Transcribed Image Text:

Somewhat disagree 6% Survey results -Strongly Neither a gree Frequency, f 86 62 34 14 disagree Response nor disagree 5% 4% Strongly agree Somewhat agree Neither agree nor disagree Somewhat disagree Somewhat agree 30% Strongly Strongly disagree agree 55%