The problem with that argument is that your mind will try and make sense of what you saw or heard. My friend, when he stilled believed in Santa Claus at an age a lot later than most, said that, as a child, he was in bed with his parents on the night of Christmas. They had just moved into the area, so they knew no-one, and they had no pets. Yet he could swear he heard the moving of wrapping-paper, footsteps, and perhaps a cough.
He was convinced for about six years more than most people that Santa existed because of this, and his parents kept it going because they liked it. They admitted to me, at the time, that one of them had gotten up and put the presents out during the night. My friend, a child and excited, perhaps didn't notice the fact that someone had left the bed, or was perhaps in that state of half-asleep where you memory is just plain selective.
I'm not trying to disprove you in any way, its just that the proof I have been provided is always from children. While This could link to the fact that children have a link to paranormal events, you could make just as strong an arguement for the fact that schizophrenics experience more paranormal events.