Cancer screening. A new, simple test has been developed to detect a particular type of cancer. The test must be evaluated before it is used. A medical researcher selects a random sample of 1 , 000 adults and finds (by other means) that 2 % have this type of cancer. Each of the 1 , 000 adults is given the test, and it is found that the test indicates cancer in 98 % of those who have it and in 1 % of those who do not. Based on these results, what is the probability of a randomly chosen person having cancer given that the test indicates cancer? Of a person having cancer given that the test does not indicate cancer?
Cancer screening. A new, simple test has been developed to detect a particular type of cancer. The test must be evaluated before it is used. A medical researcher selects a random sample of 1 , 000 adults and finds (by other means) that 2 % have this type of cancer. Each of the 1 , 000 adults is given the test, and it is found that the test indicates cancer in 98 % of those who have it and in 1 % of those who do not. Based on these results, what is the probability of a randomly chosen person having cancer given that the test indicates cancer? Of a person having cancer given that the test does not indicate cancer?
Solution Summary: The author calculates the probability that a randomly selected person is having cancer if the test indicates cancer.
Cancer screening. A new, simple test has been developed to detect a particular type of cancer. The test must be evaluated before it is used. A medical researcher selects a random sample of
1
,
000
adults and finds (by other means) that
2
%
have this type of cancer. Each of the
1
,
000
adults is given the test, and it is found that the test indicates cancer in
98
%
of those who have it and in
1
%
of those who do not. Based on these results, what is the probability of a randomly chosen person having cancer given that the test indicates cancer? Of a person having cancer given that the test does not indicate cancer?
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