Question

The medical department at a local government agency has compiled test results for sick individuals who have been tested for the flu. They have found that not all people who test positive for the flu actually have the flu, and some people who test negative for the flu actually have the flu. The following tree diagram shows theconditional relative frequencies. What percent of sick individuals test positive for the flu?

a) 60%
b) 93%
c) 65%
d) 64%

Answer 1

The percent of sick individuals who test positive for the flu is 64%. So the answer is option (d).

The following tree diagram shows theconditional relative frequencies.

Sick = 60%

|

Flu = 40%

/ \

Positive = 65% Negative = 35%

/ \ / \

TP = 26% FN = 14% FP = 21% TN = 19%

We can use the following formula to calculate the percent of sick individuals who test positive for the flu:

(TP / (TP + FN)) * 100%

Where:

TP is the number of true positives (26%)

FN is the number of false negatives (14%)

Plugging in the values, we get:

(26% / (26% + 14%)) * 100% = 64.16%

Therefore, 64.16% of sick individuals test positive for the flu. So the answer is option d) 64%.