a new blood test was developed as a screening method for detection of colorectal

Question

a new blood test was developed as a screening method for detection of colorectal cancer. The test was administered to 400 people, 150 of whom are known to have colorectal cancer. The test was found to be positive in 100 of the 150 people with colorectal cancer. The screening test was also found to be negative in 200 people who did not have the disease.

what is the sensitivity and specificity of the test?

The test was modified and now 120 of the 150 with the disease screened positive, and 70 people without the disease also had a positive screening result, Calculate and explain the following

sensitive of the test

Specificity of the test

predictive value positive

predictive value negative

Explanation / Answer

Sensitivity: probability that a test result will be positive when the disease is present.

Sensitivity is the probability that a test will indicate 'disease' among those with the disease:

Here, A = 100 and C = 50

So, here sensitivity = (100/150) * 100 = 66.66

New sensitivity = 120*100/150 = 80%

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