Atheist advocate and YouTube personality Aaron Ra made a compelling argument when he told theists "You don't know - you believe!"
The only honest answer to the paranormal is "I don't know" until there is evidence to prove it. That is true of just about everything. Just like with the debate between theists and atheists on whether there is or is not a god/gods the questions that must also be answered are -
As a theist who believes in a god/gods, what evidence would it take for you to accept atheism?
As an atheist who does not believe in a god/gods, what evidence would it take for you to accept there is a god or gods?
Unfortunately many people will refuse to change their beliefs regardless of the evidence provided. What we find in the arena of the paranormal is that non-believers will often state "I refuse to believe because their must be evidence that provides a reasonable explanation."
Albert Einstein's "spooky action at a distance" or quantum entanglement is an interesting possibility to explain some paranormal experiences. I recently listened to a program on NPR dealing with Einstein's theories on time travel. Einstein theorized that time and space are connected. If you could fold space back onto itself you can travel back in time. So, what if premonitions are memories being transmitted back to ourselves?