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 + 27 103 130 Test Result 25 70 45 Column Total 200 128 72 Assume the sample is representative of the entire population. For a person selected at random, compute the following probabilities. (Enter your answers as fractions.) P( condition present); this is known as the sensitivity of a test. (a) P( (b) condition present); this is known as the false-negative rate. (c) P( condition absent); this is known as the specificity of a test. (d) P(+| condition absent); this is known as the false-positive rate. P(condition present and +); this is the predictive value of the test (e) (f) P(condition present and -).