Disco Fever is randomly found in one half of one percent of the general population.Testing a swatch of clothing for the presence of polyester is 99% effective in detecting the presence of this disease.The test also yields a false-positive in 4% of the cases where the disease is not present.What is the probability that the test result is negative if the disease is absent?
A)0.95
B)0.96
C)0.99
D)0.995

Question

Quizplus · Accepted Answer

To find the probability that the test result is negative if the disease is absent, we need to use the complement rule. The complement of the probability of a false positive (4%) is the probability of a true negative (96%). Therefore, the probability that the test result is negative if the disease is absent is 0.96 or 96%. Option B is the correct answer as it represents this probability.

Disco Fever Is Randomly Found in One Half of One