The table is provided
A particular magazine identified the top accounting firms in 9 geographic regions across a certain country. Even though all 9 regions reported growth in the past year, region A and region B reported the highest combined growths, with 18% and 24%, respectively. A characteristic description of the accounting firms in these regions included the number of partners in the firm. The accompanying table contains data on the number of partners. Complete parts (a) through (d) below. Click on the icon to view the data table. IMPORTANT NOTE: In all of these questions, there are 2 possible ratios A/B and B/A! Our convention is to always assume that the larger variance is in the numerator (i.e., on top). The correct answer will always be found in this fashion. Similarly, in questions about a critical value, we shall consider the right (upper) tail. a. At the 0.05 level of significance, is there evidence of a difference in the variability in numbers of partners for region A accounting firms and region B accounting firms? Determine the hypotheses, where of is the population variance of the numbers of partners for region A accounting firms and o is the population variance of the numbers of partners for region B accounting firms. Choose the correct answer below. OA. Ho: 7 # 0? OB. Ho: 07 202 H1:09 = 07 H1:09 03 Compute the FSTAT test statistic. FSTAT = (Round to three decimal places as needed.) Determine the critical value. The critical value is. (Round to three decimal places as needed.)State the conclusion. l Ho. There is l evidence to support the claim that the variability of the numbers of partners for the two regions' accounting rms are different. b. Find the p-value. The p-value is . (Round to three decimal places as needed.) What does the pvalue mean? The probability of obtaining samples that give rise to a test statistic i I the i ll, found previously, is equal to the pvalue if the population variances of the number of partners for both regions are the same. c. What assumption has to be made about the two populations in order to justify the use of the F test? 0 A. The samples are taken from populations that are independent and identically distributed. 0 B. The samples are taken from populations that have the same variance. 0 c. Each of the two populations is normally distributed 0 D. The populations do not oontain any outliers. O E. The samples are taken from populations that have the same mean. 0 F. There is enough information given that no assumptions need to be made. d. Based on (a) and (b), which t test should be used to test whether there is a significant difference in the mean number of partners for region A accounting firms and region B accounting firms? O A. A separate-variance t test should be used because the test of hypothesis indicated that the population variances of the number of partners for the regions are not equal. O B. A separate-variance t test should be used because the test of hypothesis indicated that the population variances of the number of partners for the regions are equal. O C. A pooled-variance t test should be used because the test of hypothesis indicated that the population variances of the number of partners for the regions are not equal. O D. A pooled-variance t test should be used because the test of hypothesis indicated that the population variances of the number of partners for the regions are equal.Region Number of Partners 231 48 43 75 21 14 15 45 38 26 7 25 15 47 56 23 22 20 14 38 14 14 17 7 6 12 12 19
