Refer to the table which summarizes the results of testing for a certain disease

Question

Refer to the table which summarizes the results of testing for a certain disease.

Positive Test Result

Negative Test Result

Has the Disease

111

4

Does Not Have the Disease

11

172

If one of the results is randomly selected, what is the probability that it is a false negative (test indicates the person does not have the disease when in fact they do)? What does this probability suggest about the accuracy of the test?

Positive Test Result

Negative Test Result

Has the Disease

111

4

Does Not Have the Disease

11

172

Explanation / Answer

Probability that it is a false negative (test indicates the person does not have the disease when in fact they do) = 4/115

So, accuracy of the test is 97%

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