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Im thinking about buying a restaurant, so I go and ask the current owner, what is the distribution of the number of customers you get each day? And he says, oh, Ive already figure that out. And he gives me this distribution over here, which essentially says 10% of his customers come in on Monday, 10% on Tuesday, 15% on Wednesday, so forth, and so on. Theyre closed on Sunday. So this is 100% of the customers for a week. If you add that up, you get 100%. I obviously am a little bit suspicious, so I decide to see how good this distribution that hes describing actually fits observed data. So I actually observe the number of customers, when they come in during the week, and this is what I get from my observed data. So to figure out whether I want to accept or reject his hypothesis right here, Im going to do a little bit of a hypothesis test. So Ill make the null hypothesis that the owners distribution-- so thats this thing right here-- is correct. And then the alternative hypothesi
