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 207 teenagers and ask each whether a college education is worth the expense. The table to the right shows the results. At α = 0.10, test the economist's claim.
Click the icon for the pie chart of the distribution.
|
Survey results
Response
|
Frequency, f
|
|
|---|
Strongly agree
|
87
|
Somewhat agree
|
64
|
Neither agree
nor disagree
|
36
|
Somewhat
disagree
|
14
|
Strongly disagree
|
6
|
|
State H0 and Ha and identify the claim.
H0: The distribution of the opinions of whether a college education is worth the expense ______. (a)Is Uniform for parents, (b)is different for teenagers and parents, (c) Is uniform for parents (d) is the same for teenagers and parents
Ha:The distribution of the opinions of whether a college education is worth the expense ____ (a)Is Uniform for parents, (b)is different for teenagers and parents, (c) Is uniform for parents (d) is the same for teenagers and parents
Which hypothesis is the claim?
(a) H0
OR
(b) 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.
(a) REJECT, (b) FAIL TO REJECT ___At the 10% significance level, there_____ (a) IS, (b) IS NOT enough evidence to conclude that the distribution of the opinions of whether a college education is worth the expense is ______