Of course, the day it is proved/discovered/understood is the day it ceases to be paranormal – it becomes normal. 'Today's magic is tomorrow's science' and all that.
Kripal calls this the Super Natural, that our world just has some weirdness to it but this weirdness is part of us and our lives all the time.
One thing I've noticed is if you travel around America, not to mention other parts of the world, many people have a weird story or two. Some Psi effect, maybe an encounter with the dead, maybe just some odd lights or shadows or some against-the-odds perfect synchronicity.
It doesn't necessarily effect their day to day life, save perhaps giving them some sense of purpose or just the realization that science cannot capture every aspect of reality.