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Calculate sensitivity, specificity, PPV, and NPV for a diagnostic test given the following data: TP=744, FP=21, FN=31, TN=1829.

Mathematics

ScanSolve AI Answer

First, let's extract the given data:

  • Number of patients with the disease = 775
  • Number of patients with the disease who reported symptoms (True Positives, TP) = 744
  • Number of patients without the disease = 1850
  • Number of patients without the disease who reported symptoms (False Positives, FP) = 21

From this, we can calculate:

  • Number of patients with the disease who did not report symptoms (False Negatives, FN) = 775−744=31775 - 744 = 31
  • Number of patients *
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