# Why the Null Hypothesis is Not Accepted (2 of 5)

Thus, if the data do not provide a basis for rejecting the null
hypothesis that µ

_{1}- µ

_{2 }= 0 then they
almost certainly will not provide a basis for rejecting the
hypothesis that µ

_{1}- µ

_{2 }= 0.001. The
data are consistent with both hypotheses. When the null hypothesis is
not rejected then it is legitimate to conclude that the data are
consistent with the null hypothesis. It is not legitimate to conclude
that the data support the acceptance of the null hypothesis since the
data are consistent with other hypotheses as well. In some respects,
rejecting the null hypothesis is comparable to a jury finding a
defendant guilty. In both cases, the evidence is convincing beyond a
reasonable doubt. Failing to reject the null hypothesis is comparable
to a finding of not guilty. The defendant is not declared innocent.
There is just not enough evidence to be convincing beyond a
reasonable doubt. In the judicial system, a decision has to be made
and the defendant is set free. In science, no decision has to be made
immediately. More experiments are conducted.