When a one-tailed test is conducted, the null
hypothesis includes the direction of the effect. A one-tailed test of
the differences between means might test the null hypothesis that μ1
- μ 2 ≥ 0.
If M1 - M2 were much less than 0 then the null
hypothesis would be rejected in favor of the alternative
hypothesis:
μ1 - μ2
< 0.