is the probability of correctly rejecting a false null hypothesis
Power = the probability of correctly rejecting a false null hypothesis = 1  .
the probability of rejecting correctly the null hypothesis $H_0$.
To answer these questions we must know the probability thatwe have incorrectly failed to reject the tested null hypothesis, and therefore theprobability that the decision not to reject is correct, the power.
In all tests of hypothesis, there are two types of errors that can be committed. The first is called a Type I error and refers to the situation where we incorrectly reject H_{0} when in fact it is true. This is also called a false positive result (as we incorrectly conclude that the research hypothesis is true when in fact it is not). When we run a test of hypothesis and decide to reject H_{0} (e.g., because the test statistic exceeds the critical value in an upper tailed test) then either we make a correct decision because the research hypothesis is true or we commit a Type I error. The different conclusions are summarized in the table below. Note that we will never know whether the null hypothesis is really true or false (i.e., we will never know which row of the following table reflects reality).
Power is the probability of rejecting a null hypothesis b
Did weperform a strong or "powerful" test of this null hypothesis or did we reach thedecision to not reject the null hypothesis because of an inadequate database?
Therefore, the power of the test which is actually the probability of rejecting the null hypothesis when it is wrong is 0.1611. The power of the test is a small value because the probability of making type II error that is not rejecting the null hypothesis when it should be rejected because it is wrong is large.
probability of rejecting the null hypothesis
How do we determine whether to reject the null hypothesis? It depends on the level of significance α, which is the probability of the Type I error.
How do we determine whether to reject the null hypothesis? It depends on the level of significance α, which is the probability of the Type I error.
A test's power is the probability of correctly rejecting the null ..

of correctly rejecting the null hypothesis ..
16/01/2018 · The power of the test is the probability of rejecting the null hypothesis, assuming ..

It's the probability of correctly rejecting the null hypothesis ..
Power is defined as the probability of correctly rejecting a false null hypothesis—see ..

The probability of rejecting the null hypothesis when it is ..
probability of correctly rejecting the null hypothesis when it false, ..
Understanding Statistical Power and Significance …
Power analysis is a method for finding statistical power: the probability of finding an effect, assuming that the effect is actually there. To put it another way, power is the probability of when it’s false. Note that power is different from a Type II error, which happens when you fail to reject a false null hypothesis. So you could say that power is your probability of not making a type II error.
Statistical Power: What it is, How to Calculate it
A Type I error is the incorrect rejection of a true . Alpha is the size of the test. A Type II error is where you don’t reject a false null hypothesis. This is the β.
Statistical hypothesis testing  Wikipedia
The power of a test is the probability that the test will reject the null hypothesis when the alternative hypothesis is true. In other words, the probability of not making a Type II error. In other other words, what is the power of our test to determine a difference between two populations (H0 and HA) if such a difference exists?
STATISTICAL ERRORS (TYPE I, TYPE II, POWER)
That research won’t work on wishful thinking, unless you’ve got statistical power!”
Statistical power refers to the probability of correctly rejecting the null hypothesis of no effect.
A Mathematics Resource for High School Students and Teachers
Therefore, the higher the power of the test, the higher the probability of rejecting the null hypothesis when it is wrong, and the more likely and correctly the test will reject the null hypothesis without making any type of error.
Power dictionary definition  power defined
The probability of rejecting the null hypothesis when it is false is called the power of the test or simply 1  β. If the null hypothesis is false, then it should be rejected, so, the power of the test is actually giving us the probability of rejecting the null hypothesis when it should be rejected.