There are known knowns. These are things we know that we know. There are known unknowns. That is to say, there are things that we know we don't know. But there are also unknown unknowns. There are things we don't know we don't know.
Now I am no scientist or statistician, although I was involved in a science fair once and the judges did say that my volcano explosion was the largest, but this is nether here nor there. The process of science is very messy. Here is an explanation of Why Most Published Research Findings are False which is very interesting.
There are an infinite number of false hypothesis and because of this the odds are that any given hypothesis is going to be untrue. My two loyal readers stand at two deviations from the mean which means that they get this or they don’t get this. The real questions is that if the null hypothesis is more likely to be the bull hypothesis then what does this have to do in regards to Papal bulls.
This truly is the bottom line. If the easy questions are so hard to answer then what chance do we have in any religion being true? My answer is a lot like St. Peter’s, "Master, to whom shall we go? You have the words of eternal life.” The probability is not good but where shall we go. I have a relationship with Christ and I trust him. He is my starting point and with this data it makes all things new. If science were able to totally understand my Catholic faith and it was able to fit within the scientific box then I would reject it as untrue. Christ is my alpha and my omega. My morning star. He is the way the truth and the life. He is the logos and my firm foundation. What statistic do I have to prove this? I have none.