5. Suppose there is a blood test for Disease X. Blood test A measures the presence of a certain protein that is associated with the disease. Consider two sets of patients: set X are known to have the disease and set Y are known to be disease-free. These are the test results:

Set X : 15 27 35 29 29 22 16 27 27 34 18

Set Y : 12 17 10 11 33 25 13 14 21 15 24

Compute the number of True Positives, True Negatives, False Positives, False Negatives for a threshold value of 15.5.

Generate an ROC curve by hand.

Use the ROC function in MATLAB and compare with your result.