Describe the structure of the data. Is it different than data you have examined before? Specifically, there are 24 rows in this data set, but the set provides information about 4,526 observations (the sum of the "count" column). Describe what each row represents. Each of the six departments (A-F) have four rows of data in this set corresponding to each of the following. 1st row Men who were admitted 2nd row Men who were not admitted # admitted 3rd row Women who were 4th row Women who were not admitted # of the 4,526 applicants in this data set, 1,755 were admitted for an overall admission rate of approximately 39%. The admission rate for men was 45%, while the admission rate for women was 30%. Complete the following table. Gender Number Admitted Number Rejected Male 1198 1493 1278 Female 557 Indicate how your numbers are consistent with these given admission rates for men and women. (Round your answers to four decimal places.) admission rate for men 4447 x admission rate for women 3035 A DE State the x statistic, degrees of freedom, and the P-value. (Round your answer for x to two decimal places and your P-value to three decimal places.) x 2.62 x x df 3 P-value = 0 Interpret the result with respect to gender hias in admiccione State the x statistic, degrees of freedom, and the P-value. (Round your answer for x2 to two decimal places and your P-value to three decimal places.). x 11.07 x df = 5 P-value = 0 mun hypothesis and continue that gender and department is not intende (value.www. Ho: Admission and department are independent. Admission and department are not independent. H: Specifically, departments A and B admit a greater percentage of students than would be expected if there were no relationship, while departments D, E, and F admit a smaller percentage of students. In light of these two test results and the following graph, explain why the university is actually not guilty of bias, even though the overall percentage of women admitted is significantly less than the percentage of men admitted. Percent of Applicants Admitted by Gender and Department gender Department Peter Admitted She g departmen OOOOOOOOL D genderbiasberkeley department gender admitted count A 1 1 512 A 2 313 A 2 1 89 A 2 2 19 B 1 1 353 B 1 2 207 B 2 1 17 2 2 8 1 120 2 205 1 202 2 391 1 138 2 279 1 131 244 1 53 2 138 1 94 2 299 1 22 2 351 1 24 2 317 B C C C D D D E E E E F F F LL LL 1 1 2 2 1 1 2 2 1 1 2 2 1 1 2 2 12