A Self-Administered Pregnancy Test Detects 80% of Those Who Are

Multiple Choice

A self-administered pregnancy test detects 80% of those who are pregnant but does not detect pregnancy in 20%. It is 92% accurate in indicating women who are not pregnant but indicates 8% of this group as being pregnant. Suppose it is known that 2% of the women in a neighborhood are pregnant. If a woman is chosen at random from those living in this neighborhood, and if the test indicates she is pregnant, what is the probability, rounded to four decimal places, that she really is? ​

A) Pr(pregnant | tested pregnant) = 0.1949
B) Pr(pregnant | tested pregnant) = 0.1695
C) Pr(pregnant | tested pregnant) = 0.2041
D) Pr(pregnant | tested pregnant) = 0.2000
E) Pr(pregnant | tested pregnant) = 0.0063