(Adapted from Oakes M. Statistical Inference: A Commentary for the Social and Behavioral Sciences. New York: John Wiley & Sons; 1986.) Suppose you have a treatment which you suspect may alter performance on a certain task. You compare the means of your control and experimental groups (say 20 subjects in each group). Further suppose your test for comparing groups’ results in a p-value of 0.01. Please indicate which of the following are true statements (choose all that apply).
a. You have absolutely disproved the null hypothesis (that there is no difference between the population means).
b. You have found the probability of the null hypothesis being true.
c. You have absolutely proved your experimental hypothesis (that there is a difference between the population means).
d. You can deduce the probability of the experimental hypothesis being true.
e. You know, if you decided to reject the null hypothesis, the probability that you are making a wrong decision.
f. None of the above.
Ans: f
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