(5). pregnancy test gives a false positive result with a probability of 0.11 and a valid positive result with a probability of 0.88 Seventy percent of all women who submit to pregnancy test are really pregnant. A certain (a). If a particular woman's test is positive, what is the probability that she is not pregnant. (b). If a particular woman's test is negative, what is the probability that she is really pregnant. (c). Find the specificity of the test.

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**Problem 5**

Seventy percent of all women who submit to a pregnancy test are really pregnant. A certain pregnancy test gives a false positive result with a probability of 0.11 and a valid positive result with a probability of 0.88.

(a) If a particular woman's test is positive, what is the probability that she is not pregnant?

(b) If a particular woman's test is negative, what is the probability that she is really pregnant?

(c) Find the specificity of the test.
Transcribed Image Text:**Problem 5** Seventy percent of all women who submit to a pregnancy test are really pregnant. A certain pregnancy test gives a false positive result with a probability of 0.11 and a valid positive result with a probability of 0.88. (a) If a particular woman's test is positive, what is the probability that she is not pregnant? (b) If a particular woman's test is negative, what is the probability that she is really pregnant? (c) Find the specificity of the test.
Expert Solution
Step 1

According to the given information,

Ppregnant=0.70

P+ve/pregnant=0.88

P+ve/not pregnant=0.11

 

From the given information,

Pnot pregnant=1-Ppregnant                        =1-0.70                        =0.30

P-ve/pregnant=1-P+ve/pregnant                           =1-0.88                           =0.12

P-ve/not pregnant=1-P+ve/not pregnant                                =1-0.11                                =0.89

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