A particular magazine identified the top accounting firms in 14 geographic regions across a certain country. Even though all 14 regions reported growth in the past year, region A and region B reported the highest combined growths, with 21% and 20%, 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 oz is the population variance of the numbers of partners for region B accounting firms. Choose the correct answer below. OA. Ho: 03 202 OB. Ho: 07 =07 H 1: 07$ 02 OC. Ho: 07 soz OD. Ho: 07 #03 H1 07 >03 H 1: 07 = 02 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 Ho. There is evidence to support the claim that the variability of the numbers of partners for the two regions' accounting firms are different. b. Find the p-value. The p-value is. (Round to three decimal places as needed.) What does the p-value mean?c. What assumption has to be made about the two populations in order to justify the use of the F test? O A. Each of the two populations is normally distributed. O B. The samples are taken from populations that have the same mean. O C. The samples are taken from populations that are independent and identically distributed. D. The populations do not contain any outliers. O E. The samples are taken from populations that have the same variance. O 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 equal. O B. 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 C. 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 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.(Round to three decimal places as needed.) State the conclusion. Ho. There is evidence to support the claim that the variability of the numbers of partners for the two regions' accounting firms are different. Reject places as needed.) Do not reject ean?U (Round to three decimal places as needed.) State the conclusion. Ho. There is evidence to support the claim that the variability of the numbers of partners for the two regions' accounting firms are different. b. Find the p-value. The p-value is. (Round to three decimal plac insufficient What does the p-value mean sufficientWhat does the p-value mean? The probability of obtaining samples that give rise to a test statistic the V, found previously, is equal to the p-value 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 or O A. Each of the two populations is normally distributed greater than or equal to O B. The samples are taken from populations that have the same less than or equal toThe probability of obtaining samples that give rise to a test statistic the V, found previously, is equal to the p-value 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 t O A. Each of the two populations is normally distributed. critical value O B. The samples are taken from populations that have the same mean. O C. The samples are taken from populations that are independent and identically distributed. negative of the test statistic O D. The populations do not contain any outliers. negative of the critical value O E. The samples are taken from populations that have the same variance. test statistic