Why is it important to know the possible errors we might make when rejecting or failing to reject the null hypothesis?

2 answers

Don't you want to know the likelihood that your decisions are correct or wrong?

We can become very certain of our decisions, if experiments are replicated and found to have the same results. For example, let us say that the Ho (null hypothesis) has been rejected with P = .01. The experiment is replicated by two others with the same results. What is the probability that all three would get the same results solely by chance?

P = (.01)(.01)(.01) = .000001

Thus the probability of all three persons having the same findings solely by chance is one out of a million. I don't know about you, but I would be very confident about rejecting Ho.

Does this help? Thanks for asking.
Thanks, I think that is very good. I will add that to my answer.