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In a game of Dungeons and Dragons, Aditya suspects Catherine is using a loaded 20-sided die. However, he doesn't want to risk falsely accusing her,

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In a game of Dungeons and Dragons, Aditya suspects Catherine is using a loaded 20-sided die. However, he doesn't want to risk falsely accusing her, so he conducts a hypothesis test to upper- bound the probability of a false alarm. Suppose if X = 0, the die is fair and a roll Y is distributed according to Pr(Y = y|X = 0) = 0.05 for 1

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