| Tag | Value |
|---|---|
| file | Inferential_Statistics_uva-bayesian-statistics-969-en_uva-bayesian-statistics-969-en |
| name | uva-bayesian-statistics-969-en |
| section | Inferential Statistics/Bayesian Statistics |
| type | schoice |
| solution | TRUE, FALSE, FALSE, FALSE |
| Type | Conceptual |
| Language | English |
| Level | Statistical Literacy |
| IRT-Difficulty | 1.998 |
| p-value | 0.7757 |
Last week Marja went to her family doctor for a medical examination. This morning her family doctor told her that the result was positive with respect to regarding the disease D. In 95% of the cases this test is accurate. In other words if someone has disease D it is detected in 95% of cases it is detected with a positive result. And if someone does not have disease D this also yields a negative result. One in 1000 women with the same age as Marja have this disease. Let’s take the events
* D = The disease D,）.
* P = The test with the positive result. Then what is the probability P(D and P) that Marja has the disease D and the test is also positive?