It's worth noting that at their inception, null hypothesis testing and p-values were separate methodologies; there was even a bitter rivalry by their chief deve

It's worth noting that at their inception, null hypothesis testing and p-values were separate methodologies; there was even a bitter rivalry by their chief developers (Fisher and Pearson). It wasn't until much later textbooks started to merge both. It may be worth to review Neyman and Pearson's attacks on Fisher in this matter.