Michael's manager is not good at analytics. He has made the following comments to his subordinate. If his suggestions / comments are good ones, explain why; if they are bad ones, explain why and what his subordinate should do to fix them or do better; if they do not make sense, make sense of them.Make sure your answer demonstrates that you have a sophisticated understanding of the issues involved.

a."Alpha is the probability that you will reject null and shouldn't have."

b."If you have a common source of variation in two data sets, you must use matched pairs or your results are going to be wrong."

c."When picking a sample size, if you need to be within 2.5% of the true proportion, a sample of just over 1500 is a good choice.Well, at least that's what someone told me."