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    ​The information obtained by comparing a new diagnostic test with the gold standard is summarized in a two-by-two table given below​​What is the sensi
    Question

    The information obtained by comparing a new diagnostic test with the gold standard is summarized in a two-by-two table given below

    What is the sensitivity and specificity of the new test?

    A.

    Sensitivity=76%

    B.

    Sensitivity=32%

    C.

    Sensitivity=68%

    D.

    Sensitivity=34%

    Correct option is C

    Explanation-

    To find the sensitivity and specificity:

    Sensitivity=True PositivesTrue Positives+False Negatives\text{Sensitivity} = \frac{\text{True Positives}}{\text{True Positives} + \text{False Negatives}}

    Specificity=True NegativesTrue Negatives+False Positives\text{Specificity} = \frac{\text{True Negatives}}{\text{True Negatives} + \text{False Positives}}

    From the table:
     True Positives (TP) = 68
     False Negatives (FN) = 32
     True Negatives (TN) = 78
     False Positives (FP) = 22
    Calculations:​​​

    Sensitivity=6868+32=68100=68%\text{Sensitivity} = \frac{68}{68 + 32} = \frac{68}{100} = 68\%

    Specificity=7878+22=78100=78%\text{Specificity} = \frac{78}{78 + 22} = \frac{78}{100} = 78\%

    So, the correct answer is Option C - Sensitivity = 68%, Specificity = 78%

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