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
a. 0.01
b. 0.03
c. 0.04
d. 0.07
e. 0.97
2 answers:
Answer:
B. <em>0.03</em>
Step-by-step explanation:
A blood test to detect prostate cancer in men gives a positive result 96% of the time if a person has prostate cancer.
This means the test detects 96% times correctly that the person has cancer. In the remaining i.e 4% times it detects incorrectly, which means the person has not cancer but he is detected that he has cancer. This is the case of false negative.
It is 97% accurate for people who do not have the disease.
This means the test detects 97% times correctly that the person doesn't have cancer. In the remaining i.e 3% times it detects incorrectly, which means the person has cancer but he is not detected that he has cancer. This is the case of false positive.
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