This exact situation has happened before, at Berkeley no less. See 'Berkeley gender bias case' in http://en.m.wikipedia.org/wiki/Simpsons_paradox http://en.m.wi

This exact situation has happened before, at Berkeley no less. See 'Berkeley gender bias case' in http://en.m.wikipedia.org/wiki/Simpsons_paradox http://en.m.wikipedia.org/wiki/Simpsons_paradox