Question

1. Refer to the table which summarizes the results of testing for a certain disease. Positive Test Result Negative Test Result Subject has the disease 153 28 Subject does not have the disease 42 279 a. (10 points) If one of the results is randomly selected, what is the probability that it is a false negative (test indicates the person does not have the disease when in fact they do)? Show how you get your answer. Answer as a percent rounded to 1 decimal place. (EX: 0.1267 = 12.7%) b. (10 points) What does this probability suggest about the accuracy of the test? Explain your answer in complete sentence(s). 2. (10 points) If P(A) = 0.6927, what is PCA)?.

Answer 1

Р Positive Result Negative Result 181 D Discared 153 321 42 279 Not diseased 307 502 195 a) PC false negative) - P (discared/test-ve) = P(0/N) TO PCDON) P(N) = f (Deared and tested negative) p(tested negative) 2.3/502 307/502 0.0912 since, the accuracy of u face ie, there is only 0.0912, ie 9.12% of fale negatires b) The test is seen to be good since, the negatives really low. Besides, P(true positives) - P. (0/P) P(OnP) P (P) = 78.46%. = 0.7846 153 195

2. PLA)= 0.69.27 P(A) = 1- P(A) - 1-0.6927 0-3073
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