Bootstrapping is a simple-to-explain and extremely powerful statistical method that is essentially the equivalent of an A/A/A/A/A/A/.../B/B/B/B/B/B/... test in

Bootstrapping is a simple-to-explain and extremely powerful statistical method that is essentially the equivalent of an A/A/A/A/A/A/.../B/B/B/B/B/B/... test in OP's terminology. What is especially powerful about bootstrapping is that it does n't make any simplifying assumptions about the underlying distribution, unlike other methods to obtain confidence intervals.