Reversing the arguments of the conditional probability, yes, but just saying "it's the reverse" is a bit ambiguous. > If it is less than 5% probable that the n

Reversing the arguments of the conditional probability, yes, but just saying "it's the reverse" is a bit ambiguous. > If it is less than 5% probable that the null hypothesis is correct given our data, we will reject the null hypothesis and consider our alternate hypothesis (HA) to be correct. You could be reversing the 5% to 95%, could be reversing null hypothesis to alternate hypothesis, could be reversing reject to accept, etc. Too many moving parts. P-values are so often misinterpreted, it's best to err on the side of specificity.