The nonprofit group Public Agenda conducted telephone interviews with three randomly selected groups of parents of high school children. There were 202 black parents, 202 Hispanic parents, and 201 white parents. One question asked, "Are the high schools in your state doing an excellent, good, fair, or poor job, or don't you know enough to say?" Here are the survey results: The group used a chi-square test for homogeneity to assess differences between the three parent groups. Do these data provide convincing evidence that the distributions of opinion about high schools differ for the three populations of parents at the x = 0.05 level? Color Excellent Good Fair Poor Don't know Total Black 12 69 75 24 22 202 Survey Type Hispanic 34 55 61 24 28 202 White Total 22 68 81 205 60 196 24 72 14 64 201 605 Which of the following is false? The hypotheses are Ho: There is no difference in the distribution of opinions about how high schools are doing among black, Hispanic, and white parents. Ha: There is a difference in the distribution of opinions about how high schools are doing among black, Hispanic, and white parents. Because the P-value of 0.0042

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The nonprofit group Public Agenda conducted telephone interviews with three randomly selected groups of parents of high
school children. There were 202 black parents, 202 Hispanic parents, and 201 white parents. One question asked, "Are the high
schools in your state doing an excellent, good, fair, or poor job, or don't you know enough to say?" Here are the survey results:
The group used a chi-square test for homogeneity to assess differences between the three parent groups. Do these data provide
convincing evidence that the distributions of opinion about high schools differ for the three populations of parents at the
α = 0.05 level?
Color
Excellent
Good
Fair
Poor
Don't know
Total
Black
12
69
75
24
22
202
Survey Type
Hispanic White Total
34
22
68
55
81
205
61
60
196
24
24
72
28
14
64
202
201 605
Which of the following is false?
The hypotheses are Ho: There is no difference in the
distribution of opinions about how high schools are
doing among black, Hispanic, and white parents.
Ha: There is a difference in the distribution of
opinions about how high schools are doing among
black, Hispanic, and white parents.
Because the P-value of 0.0042 <a = 0.05, we
reject Ho. There is convincing evidence that there is
a difference in the distribution of opinions about
how high schools are doing among black, Hispanic,
and white parents.
O x² = 2.426
The 10% condition is met.
df = 8
Transcribed Image Text:The nonprofit group Public Agenda conducted telephone interviews with three randomly selected groups of parents of high school children. There were 202 black parents, 202 Hispanic parents, and 201 white parents. One question asked, "Are the high schools in your state doing an excellent, good, fair, or poor job, or don't you know enough to say?" Here are the survey results: The group used a chi-square test for homogeneity to assess differences between the three parent groups. Do these data provide convincing evidence that the distributions of opinion about high schools differ for the three populations of parents at the α = 0.05 level? Color Excellent Good Fair Poor Don't know Total Black 12 69 75 24 22 202 Survey Type Hispanic White Total 34 22 68 55 81 205 61 60 196 24 24 72 28 14 64 202 201 605 Which of the following is false? The hypotheses are Ho: There is no difference in the distribution of opinions about how high schools are doing among black, Hispanic, and white parents. Ha: There is a difference in the distribution of opinions about how high schools are doing among black, Hispanic, and white parents. Because the P-value of 0.0042 <a = 0.05, we reject Ho. There is convincing evidence that there is a difference in the distribution of opinions about how high schools are doing among black, Hispanic, and white parents. O x² = 2.426 The 10% condition is met. df = 8
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