Pregnancy Test: A pregnancy testing device is used by 1000 different women from

Question

Pregnancy Test: A pregnancy testing device is used by 1000 different women from a population of women who think they might be pregnant. The results are depicted in the contingency table below. Here, a positive test result means pregnancy is detected.

The probability of a false positive decreases after a positive test result is obtained.

The probability of a false positive increases after a positive test result is obtained.     

The probability of a false positive is not affected by the result of the test.

Was she actually pregnant? Yes           No Positive Test Result      482           12 Negative Test Result      5              501

Explanation / Answer

a) probability that the device is correct =(482+501)/1000 =983/1000=0.983

b)probability of a false-positive =12/513 =0.023

c)probability that the test result is wrong =12/494 =0.024

d) The probability of a false positive is not affected by the result of the test. untill we do not if she is actually pregnant or not

Yes No Total + test reuls 482 12 494 - test reults 5 501 506 Total 487 513 1000

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