2: (25 Points) West Nile virus (wNv) is potentially serious and is Centers for D

Question

2: (25 Points) West Nile virus (wNv) is potentially serious and is Centers for Dinease control and acquire this virus through a mosquito bite, on the data from the rewulta. Based nitive test retention with po remults. there are 2 false positive results armoeg 6ss negative results, there are 6 false LDO not illustration the test results. Please a: Construct a table by filling the table above to include all the totals as subject b: If one of the test subjects is randomly selected, find the probability that the had a positive test result or a negative test result. 1.00D ca lf two of the subjects are randomly selected without replacement, what is the proba- bility that they both had correct test results (either true positive or true negative)? 0.025 x 0.028 ODD (D pnbapility mat my had both corrva rpsuru 0.000 d: If 3 of the subjects are randomly selected without replacement, what is the proba- bility that they all had true negative test results? U10 U16 0.8931

Explanation / Answer

B) P(positive or negative) = 1

C) Number of correct test results = 669

P(2 correct test results) = (669/677)x(668/676) = 0.9765

D) P(3 true negative results) = (652/677)x(651/676)x(650/675)

= 0.8931

E) Sensitivity = 17/(17+2) = 0.895 = 89.5%

F) specificity = 652/658 = 0.991 = 99.1%

G) positive predictive value = 17/(17+6) = 0.739 = 73.9%

H) negative preictive value = 652/(652+2) = 0.997 = 99.7%

Positive test result negative test reult Total Infected 17 6 23 Not infected 2 652 654 Total 19 658 677

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