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 Present	Condition Absent	Row Total
Test Result +	100	30	130
Test Result	25	45	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 thesensitivityof a test. .37 (b) P(| condition present); this is known as thefalse-negative rate. (c) P(| condition absent); this is known as thespecificityof a test. (d) P(+ | condition absent); this is known as thefalse-positive rate. (e) P(condition presentand+); this is thepredictive valueof the test. (f) P(condition presentand).