Statisticians Found One Thing They Can Agree On: It’s Time To Stop Misusing P-Values | FiveThirtyEight

A common misconception among nonstatisticians is that p-values can tell you the probability that a result occurred by chance. This interpretation is dead wrong, but you see it againand again and again and again. The p-value only tells you something about the probability of seeing your results given a particular hypothetical explanation — it cannot tell you the probability that the results are true or whether they’re due to random chance.