In hypothesis testing, if the level of significance alpha = 0.05 and the power of the test is 0.80, then the probability of a Type-II error (beta) is:

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SSC Statistics QUESTION #1986

Question 1

In hypothesis testing, if the level of significance \(\alpha = 0.05\) and the power of the test is \(0.80\), then the probability of a Type-II error \((\beta)\) is:

\(0.05\)
\(0.95\)
\(0.20\)✔️
\(0.80\)

Correct Answer Explanation

Power \(= 1 - \beta\), so \(\beta = 1 - \text{Power} = 1 - 0.80 = 0.20\). Type-II error \(\beta\) is the probability of failing to reject a false null hypothesis, and power is the probability of correctly rejecting it.

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