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 ofteenagers 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. Thetable 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 resultsResponseFrequency, f84Strongly agreeSomewhat agreeNeither agreenor disagreeSomewhat|disagreeStrongly disagree6334162State 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 HoO HaCalculate 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/ChartOpinions of ParentsStrongly 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 RejectO Fail to reject(4) O is notO 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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Description: 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 ofteenagers is different from the distribution for parents. To test thi

1]level of significance α=0.05 Response Frequency strongly agree 84 somewhat agree 63…

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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)

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)

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Concept explainers

Inverse Normal Distribution

The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.

Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.

Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.

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Question

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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