Diagnostic tests of medical conditions can have several types of results. The test result can be positive or negative, whether or not a patient has the condition. A positive test (+) indicates that the patient has the condition. A negative test (−) indicates that the patient does not have the condition. Remember, a positive test does not prove the patient has the condition. Additional medical work may be required. Consider a random sample of 200 patients, some of whom have a medical condition and some of whom do not. Results of a new diagnostic test for a condition are shown. Condition Present Condition Absent Row Total Test Result + 108 22 130 Test Result − 17 53 70 Column Total 125 75 200 Assume the sample is representative of the entire population. For a person selected at random, compute the following probabilities. (Enter your answers as fractions.)(a)P(+ | condition present); this is known as thesensitivity of a test. (b)P(− | condition present); this is known as thefalse-negative rate. (c)P(− | condition absent); this is known as thespecificity of a test. (d)P(+ | condition absent); this is known as thefalse-positive rate. (e)P(condition presentand +); this is thepredictive value of the test. (f)P(condition presentand −).

Diagnostic tests of medical conditions can have several types of results. The test result can be positive or negative, whether or not a patient has the condition. A positive test (+) indicates that...

Diagnostic tests of medical conditions can have several types of results. The test result can be positive or negative, whether or not a patient has the condition. A positive test (+) indicates that the patient has the condition. A negative test (−) indicates that the patient does not have the condition. Remember, a positive test does not prove the patient has the condition. Additional medical work may be required. Consider a random sample of 200 patients, some of whom have a medical condition and some of whom do not. Results of a new diagnostic test for a condition are shown.

	Condition Present	Condition Absent	Row Total
Test Result +	108	22	130
Test Result −	17	53	70
Column Total	125	75	200

Assume the sample is representative of the entire population. For a person selected at random, compute the following probabilities. (Enter your answers as fractions.)

(a)P(+ | condition present); this is known as thesensitivity of a test.

(b)P(− | condition present); this is known as thefalse-negative rate.

(c)P(− | condition absent); this is known as thespecificity of a test.

(d)P(+ | condition absent); this is known as thefalse-positive rate.

(e)P(condition presentand +); this is thepredictive value of the test.

(f)P(condition presentand −).

Jun 04, 2022

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Diagnostic tests of medical conditions can have several types of results. The test result can be positive or negative, whether or not a patient has the condition. A positive test (+) indicates that...

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