Good question here, and I do suspect that for the most part the exact same
behavior will be viewed differently when coming from a man or a woman.
Unfortunately, part of the reality may be that you have to know your audience
to guage this well; what some people see as arrogant, others see as confident.

There was one moment in my professional life when I wonder if someone was
being sexist toward me.  At my review two years ago, I was told that I was
perceived as being too opionated, to the extent of annoying other people.  The
funny part here is that when I joined the team, my project lead (not the same
as my reviewer) told me that everyone on the team was highly opinionated and
pushy, and that I'd have to speak up for myself if I wanted to be heard.
*sigh*

At my latest review, though, I was told that I'd turned that image around and
that people are quite impressed with me.  I'm still not exactly sure what
happened, although I do know that after every meeting for a while, my
immediate boss gave me a pointer or two on how to handle the crowd, which is
always full of experienced engineers, some of whom may not be thrilled with
having a more junior engineer disagree with them.  The major conscious change
I recall is the decision to say, "I believe I know the answer, but let me
double-check and contact you rather than giving you the wrong information."
I'm not even sure that's related, but it may have resulted in fewer "he said,
she said" discussions in the team.