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Inferential Statisticshard
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Suppose a research team is evaluating a new diagnostic test and reports an area under the ROC curve (AUC) of 0.82. If the team decides to set a classification threshold that maximizes the Youden's Index (J=sensitivity+specificity−1J = sensitivity + specificity - 1J=sensitivity+specificity−1), what does a value of J=0.5J = 0.5J=0.5 imply about the diagnostic performance compared to random guessing?