Question

The number of students admitted to the three largest graduate programs at Indiana University are given in the table below. We wish to test whether department and sex are independent. The data are shown in the table below. Department Men admitted Women admitted A 512 89 B 353 17 С 120 202 a. Calculate the chi-square test statistic for a test of independence on this data. Please round the nearest integer. . Please b. Using either classical approach or P-value approach, we will conclude: type either A or B. A. There is sufficient evidence to conclude that department and sex are associated. B. There is insufficient evidence to conclude that department and sex are associated.

Answer 1

cas x² - test stalistic = {(oi-eigh where observed untre loistable as follows: sex Dep: Men Women Total Gol A 512 89 353 B 17 370 120 202 322 Total 985 308 11293 grand total follows: expected Ceil value table Men women 985x bol 1293 = 457.84 308x601 - 143.16 1293 B = 281.86 308x370 1293 . 88.14 985x370 1293 9850322 1293 245.30 308X 322 1293 76.70 2 ->y? (512-457.842 t + (202-76.70] 76.70 457.84 370.969 x= 0.05 you (b)X? critics value is 5.991 at dt (5-1)((-1) = = (3-1 (2-1) = 2. calumn Since x2-critical value is less than the test stal. so we should reject Ho. conclude that there is sufficient evidence that the department sex associated Coption A). are