The BIG Theorem on Sampling
Assume there is this population of objects (fish, people, voters) for which each object is either yes or no to a certain condition.
Assume we take a random sample of sample size n of these objects.
at a CONFIDENCE LEVEL OF 95%.
That is, there is a 5% chance that p_pop_yes will NOT be within the above margin of error of p_samp_yes. [And this is the little secret that you never hear about on TV.]