A blood test to detect prostate cancer in men gives a positive result 96% of the time if a person has prostate cancer, and it is 97% accurate for people who do not have the disease. What is the probability of getting a false positive result (that is, a person tests positive but does not actually have the ailment)?

A.

0.01

B.
0.03

C.
0.04

D.
0.07

E.
0.97

Question

A blood test to detect prostate cancer in men gives a positive result 96% of the time if a person has prostate cancer, and it is 97% accurate for people who do not have the disease. What is the probability of getting a false positive result (that is, a person tests positive but does not actually have the ailment)?


A.

0.01




B.
0.03




C.
0.04




D.
0.07 




E.
0.97

anonymous · Answer

B? i think

ivettef365 · Answer

well if it is 97% accurate for people who do not have the disease, then that means that 3% could be a mistake

anonymous · Answer

thank you, can you help me with one more?

ivettef365 · Answer

sure

anonymous · Answer

The test to detect the presence of a liver disorder is 98% accurate for a person having the disease and 97% accurate for a person not having the disease. If 3.5% of the people in a given population actually have the disorder, what is the probability that a randomly chosen person gets an incorrect diagnosis? 


A.

0.0007




B.
0.02895




C.
0.02965




D.
0.035




E.
0.06325

anonymous · Answer

sorry it took awhile

ivettef365 · Answer

since the difference for person with disease gets an incorrect diagnoses is 2%
then I would multiply   (.035)(.02) =

ivettef365 · Answer

but really I am not 100% sure, this question is little confusing

anonymous · Answer

i think i it A, thank you :)