Question

2. (20 pts) Consider a routine screening test for a disease. Suppose the frequency of the disease in the population is 3%. The test is highly accurate with a 4% false positive rate (i.e. the test indicates presence of the disease when the disease is not present only 4% of the time) and a 2% false negative rate (i.e. the test indicates that the disease is not present when the disease is present only 2% of the time). If Alice takes the test and it comes back positive, what is the probability that Alice has the disease? You should simplify your answer.

Uploaded: 2023-09-02T15:34:11-08:00
Duration: 1 min 27 s
Channel: Adi S

          2. (20 pts) Consider a routine screening test for a disease. Suppose the frequency of the disease in the population is 3%. The test is highly accurate with a 4% false positive rate (i.e. the test indicates presence of the disease when the disease is not present only 4% of the time) and a 2% false negative rate (i.e. the test indicates that the disease is not present when the disease is present only 2% of the time). If Alice takes the test and it comes back positive, what is the probability that Alice has the disease? You should simplify your answer.

2. (20 pts) Consider a routine screening test for a disease. Suppose the frequency of the disease in the population is 3%. The test is highly accurate with a 4% false positive rate (i.e. the test indicates presence of the disease when the disease is not present only 4% of the time) and a 2% false negative rate (i.e. the test indicates that the disease is not present when the disease is present only 2% of the time). If Alice takes the test and it comes back positive, what is the probability that Alice has the disease? You should simplify your answer.

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