Example: I want to compare the number of successes in a sample of ~10,000,000 independent bernoulli trials against a known population probability of success of ~.01. Thus, expected success count for 10,000,000 trials should be 100,000.
What's the quickest hypothesis test to implement for a large n, small p? I would prefer to avoid the exact binomial test if possible as I'm trying to code an automated hypothesis test.