September 13, 2008
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Fail to Reject
“[I]f we see a man who is poorly dressed we may hypothesize, H0: “This man is poor.” If the man walks to save bus fare or avoids lunch to save lunch money, we have no reason to reject this hypothesis. Further observations of this kind may make us feel H0 is true, but we cannot accept it unless we know all the true facts about the man. However, a single observation against H0, such as finding that the man owns a bank account containing $500,000 will be sufficient to reject the hypothesis.”
