Consider the following situation With this in mind suppose t

Consider the following situation… With this in mind, suppose that 0.10% of the population suffers from a particular serious disease. Further, consider that the probability of a false positive is only 0.10% and the probability of a false negative is 0.10%. Considering the probability of an individual being incorrectly diagnosed (both positive and negative), is this test a reliable indicator for the presence or absence of this illness? Show all work and be clear in your explanation.

Solution

0.001 * 0.001 + 0.001 * 0.001

0.004

is this test a reliable indicator for the presence or absence of this illness?

yes this test is a realiable indicator because the probability is very lower ( 0.4%)