Section 9.7 Summary

1. We may calculate $\beta$, the probability of making a Type II error for a $Z$ test for $\mu$, given a particular alternative value for the population mean, ${\mu }_a$.
2. The power of a hypothesis test is the probability of rejecting a false null hypothesis, and is calculated as power $=1-\beta$. We may then build the power curve by plotting the power against values of ${\mu }_a$.