I can easily dig up studies showing opposite results:
"Contrary to prevailing assumptions, men and women faculty members from all four fields preferred female applicants 2:1 over identically qualified males with matching lifestyles (single, married, divorced), with the exception of male economists, who showed no gender preference. " http://www.pnas.org/content/112/17/5360.abstract
"We found that the public servants engaged in positive (not negative) discrimination towards female and minority candidates: • Participants were 2.9% more likely to shortlist female candidates and 3.2% less likely to shortlist male applicants when they were identifiable, compared with when they were de-identified." https://pmc.gov.au/sites/default/files/publications/beta-unc...
"Teaching accreditation exams reveal grading biases favor women in male-dominated disciplines in France" http://science.sciencemag.org/content/353/6298/474