Use a = 0.05 to test whether the mean percentage of 17- to 24-year-olds who are attending college is the same for the four geographic regions. State the null and alternative hypotheses. O Hoi HN = HM = Hs = Hw H: HN * HM # Hs # HW O Ho: Not all the population means are equal. Myt = Sri = Wi = Nd :°H Myy = Si = Wri = Ni :®H O Hoi MN = MM = Hs = Hw H: Not all the population means are equal. O Ho: At least two of the population means are equal. H: At least two of the population means are different. Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value = State your conclusion. O Do not reject H. There is sufficient evidence to conclude that the percentage of 17- to 24-year-olds who are attending college is not the same for the four geographic regions. O Do not reject Ho. There is not sufficient evidence to conclude that the percentage of 17- to 24-year-olds who are attending college is not the same for the four geographic regions O Reject Ho. There is sufficient evidence to conclude that the percentage of 17- to 24-year-olds who are attending college is not the same for the four geographic regions. O Reject H. There is not sufficient evidence to conclude that the percentage of 17- to 24-year-olds who are attending college is not the same for the four geographic regions.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Problem 1P
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Suppose the following data show the percentage of 17- to 24-year-olds who are attending college in several metropolitan statistical areas in four geographic regions of the United States.
Northeast
Midwest
South
West
28.4
37.0
60.2
16.6
39.2
32.9
37.0
34.3
32.2
22.4
28.3
22.8
46.4
44.5
40.3
12.5
32.9
31.9
33.4
42.9
15.6
57.5
19.5
26.1
36.4
31.6
29.6
57.8
35.5
64.8
67.2
13.5
37.7
28.1
31.9
36.6
59.1
55.2
29.4
28.6
61.3
78.4
39.8
17.8
41.5
29.6
32.7
74.3
30.1
53.0
36.7
23.3
51.1
28.4
34.2
25.0
59.9
25.0
29.4
59.0
53.5
27.2
20.4
30.6
32.2
29.4
42.4
23.0
25.3
70.8
33.9
73.1
23.2
33.1
36.3
31.0
36.7
28.5
31.2
34.3
Transcribed Image Text:Suppose the following data show the percentage of 17- to 24-year-olds who are attending college in several metropolitan statistical areas in four geographic regions of the United States. Northeast Midwest South West 28.4 37.0 60.2 16.6 39.2 32.9 37.0 34.3 32.2 22.4 28.3 22.8 46.4 44.5 40.3 12.5 32.9 31.9 33.4 42.9 15.6 57.5 19.5 26.1 36.4 31.6 29.6 57.8 35.5 64.8 67.2 13.5 37.7 28.1 31.9 36.6 59.1 55.2 29.4 28.6 61.3 78.4 39.8 17.8 41.5 29.6 32.7 74.3 30.1 53.0 36.7 23.3 51.1 28.4 34.2 25.0 59.9 25.0 29.4 59.0 53.5 27.2 20.4 30.6 32.2 29.4 42.4 23.0 25.3 70.8 33.9 73.1 23.2 33.1 36.3 31.0 36.7 28.5 31.2 34.3
27.0
21.6
29.2
31.0
30.8
21.7
56.3
37.8
28.7
40.3
32.6
35.5
39.0
20.8
39.2
35.4
25.4
32.0
Use a = 0.05 to test whether the mean percentage of 17- to 24-year-olds who are attending college is the same for the four geographic regions.
State the null and alternative hypotheses.
Myt = Sl = WH = N :°H O
Ha: HN * HM * Hs# Hw
O Ho: Not all the population means are equal.
Ha: "N = HM = Hs = Hw
O Ho: HN * HM * Hs# Hw
Myi = Sri = Wi = Ni :°H
O Ho: HN = HM = "s = Hw
H.: Not all the population means are equal.
O Ho: At least two of the population means are equal.
H.: At least two of the population means are different.
Find the value of the test statistic. (Round your answer to two decimal places.)
Find the p-value. (Round your answer to three decimal places.)
p-value =
State your conclusion.
O Do not reject Ho: There is sufficient evidence to conclude that the percentage of 17- to 24-year-olds who are attending college is not the same for the four geographic regions.
O Do not reject Ho: There is not sufficient evidence to conclude that the percentage of 17- to 24-year-olds who are attending college is not the same for the four geographic regions.
O Reject H,. There is sufficient evidence to conclude that the percentage of 17- to 24-year-olds who are attending college is not the same for the four geographic regions.
O Reject Ho. There is not sufficient evidence to conclude that the percentage of 17- to 24-year-olds who are attending college is not the same for the four geographic regions.
Transcribed Image Text:27.0 21.6 29.2 31.0 30.8 21.7 56.3 37.8 28.7 40.3 32.6 35.5 39.0 20.8 39.2 35.4 25.4 32.0 Use a = 0.05 to test whether the mean percentage of 17- to 24-year-olds who are attending college is the same for the four geographic regions. State the null and alternative hypotheses. Myt = Sl = WH = N :°H O Ha: HN * HM * Hs# Hw O Ho: Not all the population means are equal. Ha: "N = HM = Hs = Hw O Ho: HN * HM * Hs# Hw Myi = Sri = Wi = Ni :°H O Ho: HN = HM = "s = Hw H.: Not all the population means are equal. O Ho: At least two of the population means are equal. H.: At least two of the population means are different. Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value = State your conclusion. O Do not reject Ho: There is sufficient evidence to conclude that the percentage of 17- to 24-year-olds who are attending college is not the same for the four geographic regions. O Do not reject Ho: There is not sufficient evidence to conclude that the percentage of 17- to 24-year-olds who are attending college is not the same for the four geographic regions. O Reject H,. There is sufficient evidence to conclude that the percentage of 17- to 24-year-olds who are attending college is not the same for the four geographic regions. O Reject Ho. There is not sufficient evidence to conclude that the percentage of 17- to 24-year-olds who are attending college is not the same for the four geographic regions.
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