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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
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 |
---|---|---|---|
28.9 | 35.9 | 59.3 | 17.2 |
40.1 | 32.9 | 36.7 | 34.0 |
31.7 | 23.2 | 27.4 | 22.3 |
46.0 | 44.5 | 41.2 | 13.2 |
32.3 | 31.9 | 34.4 | 43.6 |
15.1 | 59.1 | 18.7 | 26.8 |
37.2 | 31.1 | 30.9 | 57.0 |
35.6 | 63.7 | 68.2 | 14.8 |
37.0 | 28.0 | 32.6 | 36.5 |
58.0 | 54.8 | 29.4 | 27.5 |
59.9 | 78.2 | 38.4 | 18.3 |
42.2 | 30.4 | 33.0 | |
74.7 | 29.1 | 52.2 | |
37.0 | 24.5 | 51.3 | |
28.6 | 34.3 | 26.0 | |
59.8 | 24.9 | 30.4 | |
57.7 | 54.5 | 27.1 | |
20.9 | 30.6 | 31.2 | |
29.2 | 42.3 | 23.4 | |
24.9 | 70.0 | 35.4 | |
74.3 | 23.1 | 32.9 | |
37.0 | 30.5 | 37.0 | |
27.8 | 31.2 | 34.4 | |
27.7 | 21.6 | 29.5 | |
31.8 | 30.8 | 21.3 | |
56.6 | 38.2 | ||
28.9 | 40.2 | ||
32.6 | 35.3 | ||
40.2 | 21.3 | ||
39.7 | 34.9 | ||
26.7 | |||
33.2 |
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. Circle the null and alternative hypotheses below (a) Ho: HN HM = US = W Ha: Not all the population means are equal. (b) Ho: UN UM # S # W Ha: UN UM = US = w (c) Ho: UN = M = s = w Ha: UN UMHS # HW (d) Ho: At least two of the population means are equal. Ha: At least two of the population means are different. (e) Ho: Not all the population means are equal. Ha: UN UM = US = w Test statistic = (Round to two decimal places) p-value = Select One Below (Round to three decimal places) (a)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. (b)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. (c)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. (d)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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