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Gender Bias in Berkeley Grad School Admissions

• Reference: Freedman, Pisani, and Purves, Statistics, Fourth Edition, W. H. Norton, 2007.
• An observational study was conducted to consider whether there was any gender bias in graduate school admissions at Berkeley University.
• Overall, 8,442 men applied and 4,321 women applied. 44% of the men were accepted, but only 35% of the women. Is the charge of gender bias justified?
• Here is the breakdown by major:
  

  	Men		Women
  Major	Applicants	% Admitted	Applicants	% Admitted
  A	835	62	108	82
  B	560	63	25	68
  C	325	37	593	34
  D	417	33	375	35
  E	191	28	393	24
  F	373	6	341	7

• Now, if anything, there is gender bias against the males. What is going on?