If anyone could really prove "paranormal" phenomenon, do you think they would even come to challenge, and for the money!?
P.E.A.R. (Princeton) came up with solid correlations. However, one can always find something "unacceptable".
Some of the arguments (Debunking) against "Fringe" effects, and phenomena, can be more astounding and incredulous than the phenomena they claim is false. That is what is so fascinating.
One has to remember that professional Skeptics are a Religion in their own right. Their Belief system is very firmly held.
When the group folded there was a great quote that they could continue forever, and people would refuse to accept any results regardless of how data was created/collected and analyzed. That was in APS News. I may try to look it up.
In regards to James Randi, he has been exposed as a fraud and his so-called "challenge" a big lie. I won't take up too much space and time here, and let these three articles speak for themselves. Together, they thoroughly dismantle Mr. Randi and his "Psychic Challenge."