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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

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
28.3 36.9 60.5 17.1
40.1 34.1 36.6 32.9
31.1 22.9 27.6 22.7
45.8 44.6 41.3 13.1
32.9 31.6 33.3 43.6
14.9 58.5 18.7 26.8
36.3 30.9 29.6 56.7
37.0 64.2 68.2 15.0
38.1 28.0 32.9 37.0
59.2 55.8 30.3 27.8
60.5 78.3 38.9 18.0
42.4 29.6 31.8
75.3 30.4 51.6
36.5 23.5 50.9
28.7 34.7 25.2
61.1 24.8 29.7
57.5 53.8 27.5
20.4 30.5 32.0
29.3 41.7 22.2
26.2 69.5 34.0
74.7 23.5 33.0
36.9 31.4 37.8
28.0 30.2 33.6
26.8 22.4 28.4
32.6 30.8 22.4
56.4 38.7
28.7 40.4
34.1 34.9
39.1 22.4
39.8 35.7
25.7
33.0

Use = 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.

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.)

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