Answered: P( + result given condition is present)…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 1GP

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Diagnostic tests of medical conditions can have several types of results. The test result can be either positive (+) or negative (-). A positive test result does not prove that the patient has the condition, additional medical tests may be required. Consider a random sample of 200 patients.

	Condition Present	Condition Absent	Row Total
Test Result +	110	20	130
Test Result -	20	50	70
Column Total	130	70	200

Assume the sample is representative of the entire population. For a person selected at random, compute the following probabilities:

P( + result given condition is present) [This is called the sensitivity of the test]
P( - result given condition is present) [This is known as a false-negative]
P( - result given condition is absent) [This is known as the specificity of a test]
P( + result given condition is absent) [This is known as a false-positive]
P( condition present AND positive result)

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