The correct answer is B. 0.90 . In CSSBB hypothesis testing, the power of a test is defined as 1 − β , which is the probability of rejecting the null hypothesis when the null hypothesis is actually false. The CSSBB source explicitly states that 1 − β = Probability of rejecting the null hypothesis given that the null hypothesis is false . With β = 0.10 , the power is:
Power = 1 − 0.10 = 0.90
The same CSSBB supplemental material also explains that beta risk of 0.10 is normally associated with a power to detect of 90% , which confirms the calculation directly. Alpha, by contrast, is the risk of a Type I error, meaning rejecting a true null hypothesis. Although alpha and beta are related in test design, power is calculated specifically from beta, not from alpha. This concept is important in Six Sigma because Black Belts must ensure that hypothesis tests are sensitive enough to detect meaningful differences in process performance. Therefore, when α = 0.05 and β = 0.10, the verified power of the test is 0.90 .
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