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Explain why a hypothesis test is necessary. Hint: because of random error we can’t be sure that just because

Explain why a hypothesis test is necessary. Hint: because of random error we can’t be sure that just because A appears equal to B that it really is (or that just because A looks different from B that it really is). What do sample size and our level of confidence (e.g., 95% or +/-3 sigma) have to do with a hypothesis test?
 
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