4.4.1: Exercises
- Page ID
- 83582
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- A certain disease has an incidence rate of 0.3%. If the false negative rate is 6% and the false positive rate is 4%. Set up a two way table with a sample size of 10,000 people.
- Compute the probability that a person who tests positive actually has the disease.
- Compute the probability that a person who tests negative actually has the disease.
- Compute the probability that a person who has the disease tests negative.
- Compute the probability that a person who does not have the disease tests negative.
- A certain disease has an incidence rate of 0.1%. If the false negative rate is 8% and the false positive rate is 3%. Set up a two way table with a sample size of 10,000 people.
- Compute the probability that a person who tests positive does NOT have the disease.
- Compute the probability that a person who tests negative does NOT have the disease.
- Compute the probability that a person who has the disease tests positive.
- Compute the probability that a person who does not have the disease test positive.
- A certain group of symptom-free women between the ages of 40 and 50 are randomly selected to participate in mammography screening. The incidence rate of breast cancer among such women is 0.8%. The false negative rate for the mammogram is 10%. The false positive rate is 7%. If a the mammogram results for a particular woman are positive (indicating that she has breast cancer), what is the probability that she actually has breast cancer?
- About 0.01% of men with no known risk behavior are infected with HIV. The false negative rate for the standard HIV test 0.01% and the false positive rate is also 0.01%. If a randomly selected man with no known risk behavior tests positive for HIV, what is the probability that he is actually infected with HIV?