The practical problem with
hypothesis
tests is that if the sample
is sufficiently large the alternative hypothesis
will be accepted, no matter how small the
deviation from the null hypothesis condition.
In practice we are only interested in
identifying departures from the null hypothesis
condition that are meaningful to the purpose
of the test.
We can achieve the appropriate practical
significance by adjusting the power
of the test. This will usually be achieved
by selecting a sample size that is neither
too large or too small.
