Reference no: EM132250223

Assume breast cancer affects 0.001 of the female population between 45 and 55 years of age.

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)

* 0.92 accurate for people who do not have breast cancer (true negative rate).

Compute the probability that a female between the ages of 45 and 55 who tests positive for breast cancer has breast cancer, and enter your answer with 3 decimal places.

P(Disease | Test postive) =

P(Disease and Test Positive) / P(Test Positive)

Also consider the part of the population that does not have the disease and infer the false positive rate from the true negative rate.