5. The Power of a Test
d. explain a decision rule, the power of a test, and the relation between confidence intervals and hypothesis tests;
In hypothesis testing, what is Power? And how is it defined?
Power is the probability of correctly rejecting a false null hypothesis. Power is therefore defined as:
1 - β where
β is the Type II error probability.
What is the likely outcome if the power of an experiment is low?
If the power of an experiment is low, then there is a good chance that the experiment will be inconclusive. That is why it is so important to consider power in the design of experiments.