Can you help me with the following question:
Assume Breast Cancer affects 0.005 of the female population
There are two kinds of positive test results:
True positive (the test indicates you have a disease, and you actually have it)
False positive (the test indicates you have a disease, but you actually do not)
Assume mammograms are
- 0.93 accurate detecting people who actually have breast cancer (true positive rate)
- 0.93 accurate for people who do not have breast cancer (true negative rate)
Compute the probability that a female who tests positive for breast cancer has breast cancer. Answer out to three decimal places.