I am planning a prospective trial for CE mark of a new cardiovascular device, and wish to use 95% confidence intervals to present, once data are collected, the inferential estimate for the occurrence of the primary endpoint, which is a dichotomous variable (i.e. cardiovascular events at 30 days yes vs no).
The key limitation is the sample size (only 30 patients), and the fact that we expect 3-4 events at most (thus yielding a 10-13% event rate), qualifying the study as a small sample one, at least in the cardiovascular realm.
I am aware of books (e.g. Altman et al) and articles (e.g. Wei and Hutson) on this topic, as well as other CV entries (eg from Jason Todd), and typically know that the most recommended methods are the Wald and the Wilson, even if I would also trust percentile bootstrap.
My question to the CV community is quite simple: which is the most reliable method to compute 95% confidence intervals of proportions for small samples? Is there any parametric approach which tops the others? Is it better to use bootstrap instead?