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Math Help - Help with hypothesis test

  1. #1
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    Unhappy Help with hypothesis test

    The drug Lipitor is meant to reduce total cholesterol and LDL cholesterol. In clinical trials, 19 out of 863 patients taking 10 mg of Lipitor daily complained of flu-like symptoms. Suppose that it is known that 1.9% of patients taking competing drugs complain of flu-like symptoms. Is there sufficient evidence to support the claim that more than 1.9% of Lipitor users experience flu-like symptoms as a side effect?

    I think I am supposed to use the hypothesis test on this one..? Any help would be appreciated!
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  2. #2
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    Quote Originally Posted by GoDuke View Post
    The drug Lipitor is meant to reduce total cholesterol and LDL cholesterol. In clinical trials, 19 out of 863 patients taking 10 mg of Lipitor daily complained of flu-like symptoms. Suppose that it is known that 1.9% of patients taking competing drugs complain of flu-like symptoms. Is there sufficient evidence to support the claim that more than 1.9% of Lipitor users experience flu-like symptoms as a side effect?

    I think I am supposed to use the hypothesis test on this one..? Any help would be appreciated!
    H0: p = 0.019.
    H1: p > 0.019.

    Decide on a significance level.

    There are several possible approaches. Here's one:

    P = \Pr(X \geq 19 | X ~ \text{Binomial} \, (n = 863, \, p = 0.019)) = 0.2900, correct to four decimal places.

    Once upon a time you'd use the normal approximation to the binomial distribution to get the P-value. Now you just use technology.

    Is the P-value significant?
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