Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2022/iii/paper-221/4/iv/solution

The stop records estimate
but they cannot estimate the population encounter probabilities and because encounters without a stop are absent. Equivalently, they do not determine the race-specific stop-probability ratio.
The scientist needs a representative denominator for all police-civilian encounters, including those with . Suitable sources could include a carefully designed population or travel survey, systematic street and traffic observation, dispatch or body-camera sampling that records non-stop encounters, or an external administrative source measuring exposure to police by race. Combining its estimate of the population race odds with the estimable stop-data terms identifies the displayed causal risk ratio, provided the external sample targets the same city, period, and encounter population.

New to topics? Read the docs here!