ty there is adifference∗β probability
Controlling Type I & Type II ErrorsαβPower (1 – β)Sample Size
∗ The power of the hypothesis test is the probability (1-(1- ββ))rejecting a false null hypothesis, which is computed byusing:∗ A particular significant level α∗ Sample size nn∗ A particular assumed value of the population parameterin the null hypothesis∗ A particular assumed value of the population parameterthat is alternative to the value in the null hypothesisPower of the test
Term Definitionsα = Probability of making a type I error= Probability of concluding the treatments differ when in realitythey do not differβ = Probability of making a type II error= Probability of concluding that the treatments do not differ whenin reality they do differPower = 1 - Probability of making a type II error= 1 - β= Probability of correctly concluding that the treatments differ= Probability of detecting a difference between the treatments ifthe treatments do in fact differ