Sarah Kliff has a post on a study of what happens when women are refused an abortion. We have data on what happens when a woman gets an abortion, but bureaucracies aren't very good in recording what happens in the absence of action. My example in support of that generalization: FmHa and ASCS and FSA rarely had records on people who were refused service, that was one of the problems which led to the way the Pigford suit was resolved.
A bureaucracy is geared to act, and to document the actions. Rejections often aren't documented, unless in case of an appeal.