Question

4
select the correct answer.
arborists use a test to detect the presence of a certain pathogen in fruit trees. the test gives a positive result 96% of the time if a tree has a disease, and it is 97% accurate for trees that do not have the disease.
given that a tree does not have the pathogen it is being tested for, what is the probability of getting a positive result?
a. 0.03
b. 0.01
c. 0.07
d. 0.04

Explanation:

Step1: Understand accuracy for healthy trees

The test is 97% accurate for trees without the disease. Accuracy here means the probability of a negative result (since it's accurate, it correctly identifies no disease with a negative test).

Step2: Calculate false positive probability

The probability of a positive result (false positive) when the tree is healthy is \(1 - 0.97 = 0.03\).

Answer:

A. 0.03