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A common blood test indicates the presence of a disease 95% of the time when the disease is actually present in an individual and indicates the absence of disease 95% of the time when the disease is actually absent in an individual. The disease occurs in 1% of the population. What is the probability than an individual has the disease if their blood test is positive? Round the answer to 2 decimal places and enter it into the box below.

User Silagy
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1 Answer

2 votes

Answer:0.161

Explanation:

GIven 99% population is disease free and 95 % times it detects correctly

1% population have disease and test detect 95% time correctly.

Probability that an individual has the disease and test show positive


P\left [ (have\ disease)/(test\ show\ positive)\right ]

P=
(0.01* 0.95)/(0.99* 0.05+0.01* 0.05)

P=
(0.0095)/(0.059)=0.161

A common blood test indicates the presence of a disease 95% of the time when the disease-example-1
User Mgiuca
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