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Math Help - Bernoulli trials

  1. #1
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    Bernoulli trials

    a series of n Bernoulli trials is to be observed as data for testing H_{0} : p = \frac{1}{2} versus H_{1} : p > \frac{1}{2}.
    suppose that the null hypothese will be rejected only if k, the observed number of successes equals n.
    for what value of p will the probability of making a Type II error equal 0.20?
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  2. #2
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    Quote Originally Posted by wik_chick88 View Post
    a series of n Bernoulli trials is to be observed as data for testing H_{0} : p = \frac{1}{2} versus H_{1} : p > \frac{1}{2}.
    suppose that the null hypothese will be rejected only if k, the observed number of successes equals n.
    for what value of p will the probability of making a Type II error equal 0.20?
    You are being asked to find $$ p such that the probability pr(k=n)=0.2, where pr(k=N)=b(N,n,p), so pr(k=n)=b(n,n,p)=p^n

    CB
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  3. #3
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    well u dont know k or n, so does that mean p = \sqrt[n]{0.2}, depending on what n is?
    Last edited by CaptainBlack; November 28th 2010 at 04:40 AM.
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  4. #4
    Grand Panjandrum
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    Yes.

    CB
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  5. #5
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    and thats the final answer?
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  6. #6
    Grand Panjandrum
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    Quote Originally Posted by wik_chick88 View Post
    and thats the final answer?
    Why do you ask?

    CB
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  7. #7
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    just because the question is "for what VALUE of p..."
    i guess it doesnt give u any more information anyway
    thanks so much!
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