Here's the logical structure of what you will be taught in terms of #statistics as a masters student in pretty much any #science field.
If MY DATA is a sample from two random number generators of PARTICULAR TYPE, and MY TEST has a small p value then MY FAVORITE EXPLANATION FOR THE DIFFERENCES IS TRUE.
This is, quite simply, a logical fallacy. The first thing wrong is that your data IS NOT a sample from a random number generator of that particular type. So we can ignore the rest logically.
