Solution (source code)

= Solution

A <Type I error> is rejecting a true <null hypothesis>. Here it means declaring a <statistical association> between the biomarker and bowel cancer when, in the population and under the association model being tested, there is no <statistical association>. \b[It is a false positive association finding], not merely a large estimation error. A test with level $0.05$ limits this <probability> to $0.05$ under the <null hypothesis>, subject to valid calibration; the <p-value> is not the <probability> that the <null hypothesis> is true.