Suppose there is a test, , that yields the distribution of test outcomes for good drugs and

Suppose there is a test, φ, that yields the distribution of test outcomes for good drugs and bad drugs seen in Figure 12.9. In this case, is it possible to create a rule for accepting and rejecting drugs that yields no Type I or Type II error? If so, be sure to show this threshold rule explicitly on the graph above. If not, explain why this is impossible.

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P bad drugs good drugs Figure 12.9. Bad drug and good drug distributions for Exercise 11.