| Tag | Value |
|---|---|
| file | Inferential_Statistics_uva-bayesian-statistics-971-en_uva-bayesian-statistics-971-en |
| name | uva-bayesian-statistics-971-en |
| section | Inferential Statistics/Bayesian Statistics |
| type | schoice |
| solution | FALSE, TRUE, FALSE, FALSE |
| Type | Conceptual |
| Language | English |
| Level | Statistical Literacy |
| IRT-Difficulty | 2.24 |
| p-value | 0.4977 |
Suppose it is known that a proportion of 0.002 of Dutch women have disease D. There is a test to detect this disease. That test is not always reliable: in 0.04 of the cases in which the person has the disease, the test gives the result “no disease” with a negative result. And 0.96 of them are detected with a positive result. Furthermore: in 0.96 of those who do not have it, the test gives a negative result. Marja is told that she has a negative test result.
Set the events:
Then what is the probability P(D and N) that Marja gets a negative test result and she also has the disease?