A study identified top accounting firms across the United States. The Southeast and Gulf Coast regions reported the highest combined growths. A characteristic description of the accounting firms in the Southeast and Gulf Coast regions included the number of partners in the firm. Below represents the number of partners within various firms of the two regions [Southeast and Gulf Coast]. Southeast 174 Gulf Coast 79 Southeast 45 Gulf Coast 106 Southeast 29 Gulf Coast 22 Southeast 51 Gulf Coast 22 Southeast 40 Gulf Coast 38 Southeast 10 Gulf Coast 17 Southeast 29 Gulf Coast 27 Southeast 37 Gulf Coast 21 Southeast 32 Gulf Coast
A study identified top accounting firms across the United States. The Southeast and Gulf Coast regions reported the highest combined growths. A characteristic description of the accounting firms in the Southeast and Gulf Coast regions included the number of partners in the firm. Below represents the number of partners within various firms of the two regions [Southeast and Gulf Coast].
Southeast 174 Gulf Coast 79
Southeast 45 Gulf Coast 106
Southeast 29 Gulf Coast 22
Southeast 51 Gulf Coast 22
Southeast 40 Gulf Coast 38
Southeast 10 Gulf Coast 17
Southeast 29 Gulf Coast 27
Southeast 37 Gulf Coast 21
Southeast 32 Gulf Coast 17
Southeast 22 Gulf Coast 12
Southeast 9 Gulf Coast 9
Southeast 30 Gulf Coast 6
Southeast 21 Gulf Coast 9
Gulf Coast 12
Gulf Coast 18
(a) At the 0.05 level of significance, is there evidence of a difference between Southeast region accounting firms and Gulf Coast accounting firms with respect to the mean number of partners? (Include: null and alternate hypotheses, value of test statistic, decision rule, conclusion in a complete sentence that includes why in terms of the decision rule.)
(b) Determine the p-value and interpret its meaning.
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