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Binomial distrubution

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.


Solution Summary

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