Null Sampling Distributions

The null sampling distribution is a type of sampling distribution of a test statistic under the assumption that the null hypothesis is true.

It represents the distribution (likelihood) of all possible test statistics that can be observed by chance alone by sampling the population multiple times, but under the assumption that the null hypothesis is true:

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Text Elements

Probability
of seeing the
test statistic
if H0 is TRUE
test statistic
critical value of test statistic:
the critical value can be found using a table or a statistical software that
calculates it based on the input values of alpha and degrees of freedom.
Rejection region
p < alpha or when
observed test statistic > critical
Critical value given alpha

Alternative Sampling Distribution

The alternative sampling distribution refers to the distribution of the test statistic under the assumption that the null hypothesis is false.