The pie chart shows the distribution of the opinions of parents on whether a college education is worth the expense. An economist claims that the distribution of the opinions of teenagers is different from the distribution for parents. To test this claim, to the right shows the results At a0 05. test the economiers del andomy select 199 teenagers and ask each whether a college education is worth the expense The * Click the icon for the pie chart of the distribution. Survey results Response Frequency. Strongly agree Somewhat agree Neither agree nor disagree Somewhat disagree Strongly disagree 84 63 34 16 State H, and H, and identify the claim. Họ: The distribution of the opinions of whether a college education is worth the expense (1) H The distribution of the opinions of whether a college education is worth the expense (2)

Algebra & Trigonometry with Analytic Geometry
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Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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7. The pie chart shows the distribution of the opinions of parents on whether a college education is worth the expense. An economist claims that the distribution of the opinions of
teenagers is different from the distribution for parents. To test this claim, you randomly select 199 teenagers and ask each whether a college education is worth the expense. The
table to the right shows the results. At a = 0.05, test the economist's claim.
2 Click the icon for the pie chart of the distribution.
Survey results
Response
Frequency, f
84
Strongly agree
Somewhat agree
Neither agree
nor disagree
Somewhat
|disagree
Strongly disagree
63
34
16
2
State H, and H, and identify the claim.
Hn: The distribution of the opinions of whether a college education is worth the expense (1)
H,: The distribution of the opinions of whether a college education is worth the expense (2)
Which hypothesis is the claim?
O Ho
O Ha
Calculate the test statistic.
(Round to three decimal places as needed.)
Determine the P-value.
P =
(Round to three decimal places as needed.)
Decide whether to reject or fail to reject the null hypothesis. Then interpret the decision in the context of the original claim.
(3)
Ho. At the 5% significance level, there (4).
enough evidence to conclude that the distribution of the opinions of whether a college education is worth the expense (5)
2: Graph/Chart
Opinions of Parents
Strongly agree 54%
I Somewhat agree 29%
O Neither agree nor disagree 6%
O Somewhat disagree 7%
1 Strongly disagree 4%
(1) O is the same for teenagers and parents.
O is different for teenagers and parents.
O is uniform for parents.
O is uniform for teenagers.
O Reject
O Fail to reject
(4) O is not
O is
(5) O is different for teenagers and parents.
O is uniform for teenagers.
O is the same for teenagers and parents.
O is uniform for parents.
(2) O is different for teenagers and parents.
O is uniform for teenagers.
(3)
O is the same for teenagers and parents.
O is uniform for parents.
Transcribed Image Text:7. The pie chart shows the distribution of the opinions of parents on whether a college education is worth the expense. An economist claims that the distribution of the opinions of teenagers is different from the distribution for parents. To test this claim, you randomly select 199 teenagers and ask each whether a college education is worth the expense. The table to the right shows the results. At a = 0.05, test the economist's claim. 2 Click the icon for the pie chart of the distribution. Survey results Response Frequency, f 84 Strongly agree Somewhat agree Neither agree nor disagree Somewhat |disagree Strongly disagree 63 34 16 2 State H, and H, and identify the claim. Hn: The distribution of the opinions of whether a college education is worth the expense (1) H,: The distribution of the opinions of whether a college education is worth the expense (2) Which hypothesis is the claim? O Ho O Ha Calculate the test statistic. (Round to three decimal places as needed.) Determine the P-value. P = (Round to three decimal places as needed.) Decide whether to reject or fail to reject the null hypothesis. Then interpret the decision in the context of the original claim. (3) Ho. At the 5% significance level, there (4). enough evidence to conclude that the distribution of the opinions of whether a college education is worth the expense (5) 2: Graph/Chart Opinions of Parents Strongly agree 54% I Somewhat agree 29% O Neither agree nor disagree 6% O Somewhat disagree 7% 1 Strongly disagree 4% (1) O is the same for teenagers and parents. O is different for teenagers and parents. O is uniform for parents. O is uniform for teenagers. O Reject O Fail to reject (4) O is not O is (5) O is different for teenagers and parents. O is uniform for teenagers. O is the same for teenagers and parents. O is uniform for parents. (2) O is different for teenagers and parents. O is uniform for teenagers. (3) O is the same for teenagers and parents. O is uniform for parents.
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