If more women apply to STEM fields, will they get in?

More women are applying to competitive programs (i.e., lower acceptance rates) in college that result in low-paying jobs (English, Psychology). The Simpson Paradox (a statistical principal where an erroneous conclusion is made by aggregating the data too simply, and the true and contradictory conclusion is revealed by properly sub-grouping the aggregate data) has been invoked to indicate UC Berkely is not discriminating against women applicants. If this trend can be reversed, will the gap actually disappear between the overall acceptance rate of men vs. women?