Question

-125 points 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 My Notes Ask Your Test Result + Test Result- 24 51 130 70 19 sume the sample is repres entative 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 the sensitivity of a test. (b) P(- 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 (e) P(condition present and) (f) P(condition present and -) Tutorial

Answer 1

a)P(+|condition present)=106/125

b)P(-|condition present)=19/125

c)P(-|condition absent)=51/75

d)P(+|condition absent)=24/75

e)P(conditio present and +)=106/200=53/100

f) P(conditio present and -)=19/200