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Power function (statistics)

  1. Oct 13, 2008 #1
    A coin is suspected of bias towards heads, so a test is made of the hypothesis H0: p=2 against H1:p>2, where p is the probability of heads. The test is to count the number of heads, X, in 10 tosses of the coin, and reject H0 if X=8, 9, or 10.
    Show that the power function for this test is given by: p^8(45-80p+36p^2)

    I have no idea how to start. I know that the power function means: P(reject H0 given H0 is false) but i dont know how to continue.

    Any help would be very much appreciated.
    Thank you
  2. jcsd
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