ical pregnancy test, possible outcomes are as follow: Woman is pregnant Woman is not pregnant |Results = Positive Tnue Positive False Positive Results = Negative False Negative rue Negative positive: Incorrect test results - a woman test pregnant when she is not actually pregnant negative: Incorrect test results-a woman test not pregnant when she is actually pregnant positive: Correct test- a waman test pregnant when she is actually pregnant negative: Correct test- a woman test not pregnant when she is not actually pregnant at the accuracy of pregnancy tests may be affected by many factors including: I after conception (more reliable when taken at least two weeks after conception ent types of tests may have different levels of accuracy

A First Course in Probability (10th Edition)
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ISBN:9780134753119
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Chapter1: Combinatorial Analysis
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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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Working problem 4.19:
In a typical pregnancy test, possible outcomes are as follow:
Woman is pregnant
Woman is not pregnant
Results = Positive
True Positive
False Positive
Results = Negative
False Negative
True Negative
• False positive: Incorrect test results - a woman test pregnant when she is not actually pregnant
• False negative: Incorrect test results- a woman test not pregnant when she is actually pregnant
• True posítive: Correct test- a woman test pregnant when she is actually pregnant
• True negative: Correct test- a woman test not pregnant when she is not actually pregnant
Note that the accuracy of pregnancy tests may be affected by many factors including:
- Period after conception (more reliable when taken at least two weeks after conception
- Different types of tests may have different levels of accuracy
200 women were randomly selected for a pregnancy testfrom a population of women who are concerned whether they are pregnant.
The results of the tests were as follows:
Woman is preg nant
Woman is not pregnant
Results = Positive
170
Results = Negative
10
14
Assuming that one woman is randomly selected from the 200 women included in the test trial,
-What is the probability of selecting a woman who is pregnant?
-What is the probability of selecting a woman who is not pregnant?
-What is the probability of selecting a woman who test positive?
-What is the probability of selecting a woman who test negative?
the
-What
-What is the probability of selecting a woman who is not pregnant and test negative?
-What is the probability of selecting a woman who is pregnant or test positive?
-What is the probability of selecting a woman who is pregnant or test negative?
-What is the probability of selecting a woman who is not pregnant or test positive?
-What is the probability of selecting a woman who is not pregnant or test negative?
is
probability of selecting a woman who is pregnant and test positive?
48
Transcribed Image Text:Working problem 4.19: In a typical pregnancy test, possible outcomes are as follow: Woman is pregnant Woman is not pregnant Results = Positive True Positive False Positive Results = Negative False Negative True Negative • False positive: Incorrect test results - a woman test pregnant when she is not actually pregnant • False negative: Incorrect test results- a woman test not pregnant when she is actually pregnant • True posítive: Correct test- a woman test pregnant when she is actually pregnant • True negative: Correct test- a woman test not pregnant when she is not actually pregnant Note that the accuracy of pregnancy tests may be affected by many factors including: - Period after conception (more reliable when taken at least two weeks after conception - Different types of tests may have different levels of accuracy 200 women were randomly selected for a pregnancy testfrom a population of women who are concerned whether they are pregnant. The results of the tests were as follows: Woman is preg nant Woman is not pregnant Results = Positive 170 Results = Negative 10 14 Assuming that one woman is randomly selected from the 200 women included in the test trial, -What is the probability of selecting a woman who is pregnant? -What is the probability of selecting a woman who is not pregnant? -What is the probability of selecting a woman who test positive? -What is the probability of selecting a woman who test negative? the -What -What is the probability of selecting a woman who is not pregnant and test negative? -What is the probability of selecting a woman who is pregnant or test positive? -What is the probability of selecting a woman who is pregnant or test negative? -What is the probability of selecting a woman who is not pregnant or test positive? -What is the probability of selecting a woman who is not pregnant or test negative? is probability of selecting a woman who is pregnant and test positive? 48
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