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Math Help - Problem with Hypothesis Testing/Type I and II errors

  1. #1
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    Problem with Hypothesis Testing/Type I and II errors

    Hi everyone.

    I've been at this problem for about 4 hours now to no avail. Can anyone please help me with this annoyance

    An experimenter has prepared a drug dosage level that she claims will induce sleep for 80% of people suffering from insomnia. After examining the dosage, we feel that her claims regarding the effectiveness of the dosage are inflated. In an attempt to disprove her claim, we administer her prescribed dosage to 20 insomniacs, and we observe Y, the number for which the drug dose induces sleep. We wish to test the hypothesis Ho : p = 0.8 versus the alternative H1: P < 0.8 . Assume that the rejection region {y< 12} used.

    a) In terms of this problem, what is a type I error?

    b) find α (alpha).

    c) In terms of this problem. What is a type II error?

    d) Find Β (Beta) when p = 0.6

    e) Find B (Beta) when p = 0.4


    I have a... i think... I said in terms of this problem, the type I error is concluding that the drug induces sleep, even though it doesn't.

    But i dont even know if i have that right

    Any help would be appreciated.
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  2. #2
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    The thing that's screwing me up is that, according to the rejection region formula i'm given, I need the standard deviation, which is not given. But i know the rejection region along with the 'n' ..
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