Question

A researcher did a one-tailed hypothesis test using an alpha level of .01, H0 was rejected.A colleague analyzed the same data but used a two-tailed test with α=.05, H0 was failed to reject. Can both analyses be correct? Explain your answer.

Answer 1

H0 is rejected => P-value<0.01

Note that,

P-value<0.01<0.05

So, H0 should be rejected at 5% also.

So, both analyses cannot be correct .