1. An online website on pregnancy testing says that *Usually, if all care has been taken, [home) pregnancy tests are 97% accurate." [R314] Assume that "97% accurate" means a false positive rate and a false negative rate of 3%. Since a woman is unlikely to use a home pregnancy test unless she thinks she's probably pregnant, assume that 80% of the women who try one are in fact pregnant. Explain why a positive test indicates pregnancy more than 99% of the time even thought the false positive rate is 3%.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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1. An online website on pregnancy testing says that *Usually, if all care has been taken, [home) pregnancy tests are 97% accurate." [R314] Assume that "97% accurate" means a false positive rate and a false negative rate of 3%. Since a woman is unlikely to use a home pregnancy test unless she thinks she's probably pregnant, assume that 80% of the women who try one are in fact pregnant. Explain why a positive test indicates pregnancy more than 99% of the time even thought the false positive rate is 3%.
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