Q.23 - The Practice of Statistics for AP

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?

Step-by-Step Solution

Answer

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

Step 1: 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.

Step 2: 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 $2-$power = $1-0.78=0.22$ 

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