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 197 teenagers and ask each whether a college education is worth the expense. Strongly agree The table to the right shows the results. At a = 0.05, test the economist's claim. Click the icon for the pie chart of the distribution. Response Somewhat agree Neither agree nor disagree Somewhat disagree Strongly disagree Survey results State Ho and H₂ and identify the claim. Ho: The distribution of the opinions of whether a college education is worth the expense is the same for teenagers and parents. Ha: The distribution of the opinions of whether a college education is worth the expense is different for teenagers and parents. Which hypothesis is the claim? Ho На Calculate the test statistic. 2 x = (Round to three decimal places as needed.) Graph/chart Frequency, f 85 61 34 14 3 Opinions of Parents Strongly agree 54% Somewhat agree 29% Neither agree nor disagree 6% Somewhat disagree 7% Strongly disagree 4% Print Done

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 26PFA
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Question
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 197 teenagers and ask each whether a college education is worth the expense. Strongly agree
The table to the right shows the results. At a = 0.05, test the economist's claim.
Click the icon for the pie chart of the distribution.
Response
Somewhat agree
Neither agree
nor disagree
Somewhat
disagree
Strongly disagree
Survey results
State Ho and H₂ and identify the claim.
Ho: The distribution of the opinions of whether a college education is worth the expense is the same for teenagers and parents.
Ha: The distribution of the opinions of whether a college education is worth the expense is different for teenagers and parents.
Which hypothesis is the claim?
Ho
На
Calculate the test statistic.
2
x =
(Round to three decimal places as needed.)
Graph/chart
Frequency, f
85
61
34
14
3
Opinions of Parents
Strongly agree 54%
Somewhat agree 29%
Neither agree nor disagree 6%
Somewhat disagree 7%
Strongly disagree 4%
Print
Done
Transcribed Image Text: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 197 teenagers and ask each whether a college education is worth the expense. Strongly agree The table to the right shows the results. At a = 0.05, test the economist's claim. Click the icon for the pie chart of the distribution. Response Somewhat agree Neither agree nor disagree Somewhat disagree Strongly disagree Survey results State Ho and H₂ and identify the claim. Ho: The distribution of the opinions of whether a college education is worth the expense is the same for teenagers and parents. Ha: The distribution of the opinions of whether a college education is worth the expense is different for teenagers and parents. Which hypothesis is the claim? Ho На Calculate the test statistic. 2 x = (Round to three decimal places as needed.) Graph/chart Frequency, f 85 61 34 14 3 Opinions of Parents Strongly agree 54% Somewhat agree 29% Neither agree nor disagree 6% Somewhat disagree 7% Strongly disagree 4% Print Done
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