Medical situation |
Imagine being a doctor at an AIDS counseling center. In addition to individual counseling sessions, HIV tests are also carried out in this AIDS counseling center. For this purpose, a blood sample is taken from the client and an HIV test is carried out |
They are currently counseling a low-risk client who has received a positive HIV test result. This client wants to know what this means for him |
For your answer, you will only have the following information available, based on a sample of low risk individuals who have all been HIV tested: |
Presentation of information |
Text only |
Text only |
Tree diagram only |
Tree diagram only |
Text |
The probability of a low-risk person being HIV-infected is 0.01% |
100 out of every 1,000,000 low-risk individuals are HIV-infected |
The probability that a person will receive a positive HIV test result when infected with HIV is 99.7% |
100 out of 100 people who are infected with HIV receive a positive result in the HIV test |
The likelihood of a person being mistakenly positive for the HIV test while not HIV-infected is 0.0004% |
4 out of 999,900 people who are not infected with HIV mistakenly receive a positive result from the ELISA test |
Tree diagram |
Probability tree (in the version with a tree diagram) |
Frequency tree (in the version with a tree diagram) |
Question |
What is the probability that this person is actually HIV-infected? |
How many of those positively tested for HIV are actually HIV-infected? |
Answer: _______ |
Answer: ____ out of _____ |