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    Binomial distrubution

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    Your lab is working to produce a particular chemical reaction. The conventional probability for producing this reaction successfully is p = ½. You have a new technique that you believe will produce this reaction successfully at least 2/3 of the time. You plan to test your method with a sequence of 36 trials. You decide to reject the null hypothesis that p = ½ at a significance level of alpha = .05 if the number of successes your method produces is at least N, where N is the smallest number of successes such that

    P(X >=N) <= .05

    And X is the random variable which represents the number of successes in your trials, assuming a binomial distribution. DO NOT find N or compute the type II error for this test. Instead simply....

    1. Explain how you would find N
    2. Explain how you would compute the type II error for this test.

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    To test the null hypothesis: , You want to ...

    Solution Summary

    In this problem we explain how to find the sample size and type II error when working with a binomial distribution