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 Negative Resul Test Result 87 27 Subject has the disease Subject does not have the disease 155 If one of the results is randomly selected, what is the probability that it is a false positive (test indicates the person has the disease when in fact they don't)? Round the probability to three decimal places. What does this probability suggest about the accuracy of the test? OA. OB. 0.097; The probability of this error is high so the test is not very accurate 0.032: The probability of this error is low so the test is fairly accurate. C. 0.410: The probability of this error is high so the test is not very accurate D. 0.148; The probability of this error is high so the test is not very accurate.

Explanation / Answer

Total sample = 87 + 27 + 9 + 155 = 278

P(false positive) = P(positive test result | doesn't have disease)

= P(positive test result and doesn't have disease) /P(doesn't have disease)

= (27/278) / ((27+155)/278)

= 27 / 182

= 0.148

Option-D

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