What is the power of the test and how does it relate to erro

What is the power of the test and how does it relate to error?

Solution

The power of a hypothesis test is nothing more than 1 minus the probability of a Type II error. Basically the power of a test is the probability that we make the right decision when the null is not correct (i.e. we correctly reject it)

In other words

the power of the test is how much powerful are the data that you use for the test

and it is relate with error type II

Power = 1 - error Type II