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.
Please see the attached Word document.
Use words to describe solution process. This time, solutions do not need to be typeset IF your handwriting is very clear. If your handwriting is not neat, please typeset the solution.
To test the null hypothesis: , You want to ...
In this problem we explain how to find the sample size and type II error when working with a binomial distribution