If you conduct a study in which you test 20 different hypotheses, then you expect to obtain one result with p < 0.05 even if all of the null hypotheses are true. Suppose you do a study in which you conduct 20 independent hypothesis tests and you obtain 3 p-values less than 0.05. Which of the following is a true statement?
a. Based on your data alone, you can be reasonably confident that two of your findings represent true associations.
b. Based on your data alone, you have no way of knowing whether any of these associations might be true.
c. The probability that all three identified associations are spurious is so small that you can be reasonably confident that you’ve at least identified something of interest.
Ans: b
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