n quietly practicing his skills and is now an amazing dart player.  At this point, he has a 70% chance to hit the bull’s eye on any given throw!  Let’s assume that each throw of the dart is independent of another. Nathan decides to test himself and enters a Friday night dart tournament, he will have to throw 120 darts across several matches, let B = the number of bull’s eyes that he hits.  1.Check the criteria to show that B is a binomial random variable. 2.Check the conditions for using a Normal approximation in this setting 3. What’s the probability that Nathan will hit at least 75 bull’s eyes across the tournament

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2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.