Answer to Question #282525 in Statistics and Probability for Majhar

Question

In a problem of testing of a simple hypothesis against a simple alternative, if the probability of type 1 error is known to be 0.06 then the power of test will be0.94. Is it true?

Answer 1

Solution:

It is false.

Given that $1-\alpha=0.06, 1-\beta=0.94$.

Clearly, $\alpha, \beta$ are unrelated. So, we cannot say that $\alpha=1-\beta$.

Thus, false.