The presence of colorectal cancer can be tested via a fecal occult blood count test. Sometimes the test can give a positive result when the cancer is absent and sometimes the test records a negative when in fact the cancer is present. In a population of 10,000 adults screened for colorectal cancer via a fecal blood test, the following counts were recorded.
|
|
Cancer Present |
No Cancer |
|
Test positive |
16 |
298 |
|
Test negative |
14 |
9672 |
Based on this information, find (to 3 decimal places) the
odds
that a person in the population has colorectal cancer given that their fecal occult blood test was positive.