The null
hypothesis is a term that statisticians often use to indicate the statistical
hypothesis tested. The purpose of most statistical tests, is to determine if the
obtained results provide a reason to reject the hypothesis that they are merely
a product of chance factors. For example, in an experiment in which two groups
of randomly selected subjects have received different treatments and have yielded
different means, it is always necessary to ask if the difference between the obtained
means is among the differences that would be expected to occure by chance whenever
two groups are randomly selected. In this example, the hypothesis tested is that
the two samples are from populations with the same mean. Another way to say this
is to assert that the investigator tests the null hypothesis that the difference
between the means of the populations from which the samples were drawn, is zero.
If the difference between the means of the samples is among those that would occur
rarely by chance when the null hypothesis is true, the null hypothesis is rejected
and the investigator describes the results as statistically significant.