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

Question

2 years ago

10

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

Mathematics

2 answers:

shusha [124] · Answer 1 · 2022-06-16T03:04:11+03:00

shusha [124]2 years ago

8 0

answr B 0.03 is right

maria [59] · Answer 2 · 2022-06-16T05:23:44+03:00

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.