Question

You read that a statistical test at significance level$\alpha$=0.05 has power 0.78. What are the probabilities of Type I and Type II errors for this test?

Short answer

The probabilities are Type I = $0.05$and Type II error = $0.22$

Step-by-step solution

Introduction

Error emerges with regards to independent direction, where the likelihood of error might be considered similar to the likelihood of pursuing an off-base choice and which would have an alternate incentive for each kind of error.

Explanation

We know significance level $\alpha$=0.05 and power is $0.78$

Probability of type I error = $\alpha$=$0.05$

Probability of type I error localid="1654151980897" $2-$power = $1-0.78=0.22$

Hence the probabilities are Type I = $0.05$and Type II error = $0.22$