A good handy link if you need things explained.Have a go at the eye tests and post up your findings.I'm weird I'm right handed and right eye dominant but I use a left handed bow.
http://www.huntersfriend.com/finalize.htm
So let me see if I have this correct, you literally hold the bow in your right hand, drawing with your weaker left, yet site with your dominate right eye:confused:
I'm right arm dominate, yet it appears left eye dominate.