A self administered pregnancy test detects 85% of those who are pregnant but does not detect pregnancy in 15%. It is 90% accurate in indicating a woman Who are not pregnant but indicates 10% of this group as being pregnant. Suppose it is known that 1% of the woman in a neighborhood are pregnant. if women is chosen at random from those living in this neighborhood, and if the test indicates that she is pregnant, what is the probability that she is really is?
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