"I've been confused about this for a while but I think I've got it!" Samantha suddenly says with satisfaction. "A p value of 0.4 means that the probability of the null being true given your data is 40%, and the probability of the alternative being true is 60%. We try to minimize Type I error by setting alpha equal to p only when p is less than 0.05." She looks around anxiously. "Is that right?" Can you answer Samantha? In your answer, state clearly whether she is correct or not and explain why. describe clearly how the p value relates to the null and alternative hypotheses , as well as alpha.