Q.24 - The Practice of Statistics for AP

Question

You read that a statistical test at the $\alpha$=0.01 level has a probability of 0.14 of making a Type II error when a specific alternative is true. What is the power of the test against this alternative?

Step-by-Step Solution

Answer

The power of the test against this alternative is $0.86$

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 $\alpha =0.01$

probability of making a Type II error = $0.14$

Now, 

Power = $1-$probability of making a Type II error = $1-0.14$

$=0.86$