> Claiming that these 30 acceptance / rejection regions will somehow be independent of each other isn't true -- since our tests are accurate, or at least reason

> Claiming that these 30 acceptance / rejection regions will somehow be independent of each other isn't true -- since our tests are accurate, or at least reasonably so, the accept / reject regions will be the same, or nearly so. Ok, here's an example. Test 1 tests the following hypothesis: the last two digits of polling data are uniformly distributed amongst the values 00, 01, ..., 99. Test 2 tests the following hypothesis: the first digit is distributed according to Benford's law. For large data (like vote totals) these tests are (nearly) independent, no?