Question: Suppose you use the decision rule decide the text is AI-generated only if both tests indicate the text is AI-generated. What is the false

Suppose you use the decision rule decide the text is AI-generated only

Suppose you use the decision rule decide the text is AI-generated only if both tests indicate the text is AI-generated". What is the false positive probability and the detection probability of this decision rule? Is this a Pareto-optimal decision rule? Find the Neyman-Pearson decision rule for Ho:human-generated versus H:AI- generated text that gives a false positive probability of a = 0.05. Simplify your decision rule as much as possible. What is the probability of detection?

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