4. The data in the table below are on graduate admissions by sex at the University of California, Berkeley, and are given in Bickel (1972). Admit ted Rejected M ale 1 198 1493 Female 567 1278 (i) Evaluate the odds ratio for being admitted for males compared with females. (ii) Do the results conclusively indicate unfairness? Why or why not? (iii) What are some potentially useful stratication variables to condition on, and how might conditional odds-ratios be used to further investigate possible unfairness? (we will revisit this dataset later in the course to further study this question)