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 the conditional relative frequencies.

A tree diagram shows sick individuals branching off into two categories, have the flu and do not have the flu, which is labeled 35%. Have the flu branches off into two sub-categories, test positive, which is labeled 93%, and test negative. Do not have the flu branches off into two subcategories, test positive and test negative, which is labeled 91%.

What percent of sick individuals test positive for the flu?

60%
93%
65%
64%

Answer 1

To find the percent of sick individuals who test positive for the flu, multiply the percentage of sick individuals who have the flu by the percentage of those who test positive.

Step-by-step explanation:

To find the percent of sick individuals who test positive for the flu, we need to consider the conditional relative frequencies given in the tree diagram. The tree diagram shows that 35% of sick individuals have the flu, and out of those, 93% test positive for the flu. So, to calculate the percent of sick individuals who test positive for the flu, we can multiply these two percentages together: 35% * 93% = 32.55%. Therefore, the correct answer is 32.55%