I know this is a basic question, but for a statistical hypothesis test, there are two possible outcomes and two possibilities for the right answer

I'm not quite sure what the exact question is.

False Positives (Type I errors) are rejections of true null hypotheses (finding a difference, when actually there is none)
True Negatives are non-rejections of true null hypotheses (not finding a difference, because there actually isn't one)

False Negatives (Type II errors) are non-rejections of wrong null hypotheses (not finding a difference, when actually there is one)
True Positives are rejections of wrong null hypotheses (finding a difference that is actually there)

Does that answer the question?
 
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