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Math Help - Coin Flip Hypothesis Testing

  1. #1
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    Nov 2009
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    Post Coin Flip Hypothesis Testing

    So I glanced at the overall Hypothesis Testing thread and other articles on the internet and it seems most of them cover standard deviations and other stuff that we haven't quite got to yet in class. Me and my friend were reviewing the home work and we keep getting confused with the hypothesis testing.

    Problem:
    Consider the coin flip example from class. Our hypotheses were H0: PI = 0.5 vs.
    Ha:  PI> 0:5. Compute the probability of a type II error at PI  = 0.7 when we reject
    H0 if the coin comes up heads every time after

    (a) n = 1 flip

    ______________________

    A type II error is accept the null (coin is fair with a .5 probability) even though it is unfair with a .7 probability. Would the probability of this simply be 1-(0.7)^n with n being the number of flips or am I way off base?
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  2. #2
    Senior Member Sambit's Avatar
    Joined
    Oct 2010
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    What is your critical region and what is PI?
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