3. Eighty-three percent of all women who submit to pregnancy tests are pregnant. A new pregnancy test gives a false positive result with probability 0.03 and a correct positive result with probability 0.98. Define the events: P: {a woman is pregnant) and +: {the pregnancy test is positive).

a) What is the sensitivity of this test? Explain in layperson terms what this means. b) What is the specificity of this test? Explain in layperson terms what this means.

c) What is the false negative rate (FNR) for this test? Explain in layperson terms what this means

d) What is the unconditional probability that this test produces a positive result? Explain in layperson terms what this means

e) For a randomly chosen woman who receives a positive result using this test, what is the probability that she is not pregnant? Interpret this result