While I do standby my original statement that in general men are more egotistical (like all situations its very nuanced and people as individuals can be anywhere on the spectrum),
Logic (left brain) and intuition (right brain) are equally important in decision making. There are important questions only intuition can answer. When someone is very proficient in a skill or subject they can achieve near perfection at times when able to completely trust their intuition. In sports its called "the zone".
Sadly, school and business has nearly chocked out our intuition skills over the years, I think in some academic settings it is making a resurgence.
I wonder if the atrocity of sexual discrimination (I.e. universities and corporations not accepting women) might have played a large role in women retaining the intuitive process more than men. Considering those are the same institutions that promoted logic only based thinking for a long time. Not that it matters just a curious thought.
Now that I went off on a tangent I forgot my original point.