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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

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 of200 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 PresentCondition AbsentRow TotalTest Result +10228130Test Result175370Column Total11981200Assume 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 thesensitivityof a test.

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