Pasta hypothesis

Discussion in 'Math' started by boks, Apr 20, 2009.

  1. boks

    Thread Starter Active Member

    Oct 10, 2008
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    0
    According to a marketing expert, 40% of Pastafarians prefer lasagna. If 9 out of 20 pastafarians choose lasagna over other pastas, what can be concluded about the expert's claim? Use a 0.05 level of significance.

    Attempt:

    H0: p=0.4
    H1: p=/=0.4

    Test statistic: Binominal variable X with p=0.4 and n=20.

    x=9, and np0 = 8

    <br />
P=1 - \Sigma_{x=0}^9 b(x;20,0.4) = 1 - 0.7553 = 0.2447<br />

    Correct answer: 0.4044.
     
    Last edited: Apr 20, 2009
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