Data is drawn from a binomial (5, 0) distribution, where is unknown. Here is the table of probabilities p(x|0) for 3 values of 0: X 0 1 0 = 0.5 0.031 0.156 0 = 0.6 0.010 0.077 0 = 0.8 0.000 0.006 2 3 4 5 0.313 0.313 0.156 0.031 0.230 0.346 0.259 0.078 0.051 0.205 0.410 0.328 You want to run a significance test on the value of 0. You have the following: Null hypothesis: 0 = 0.5. Alternate hypotheses: >0.5. Significance level: a = .1. (a) Find the rejection region. (b) Compute the power of the test for each of the two hypotheses 0 = 0.6 and 0 = 0.8. (c) Suppose you run an experiment and the data gives x = 4. Compute the p-value of this data.

Data is drawn from a binomial (5, 0) distribution, where is unknown. Here is the table of probabilities p(x|0) for 3 values of 0: X 0 1 0 = 0.5 0.031 0.156 0 = 0.6 0.010 0.077 0 = 0.8 0.000 0.006 2 3 4 5 0.313 0.313 0.156 0.031 0.230 0.346 0.259 0.078 0.051 0.205 0.410 0.328 You want to run a significance test on the value of 0. You have the following: Null hypothesis: 0 = 0.5. Alternate hypotheses: >0.5. Significance level: a = .1. (a) Find the rejection region. (b) Compute the power of the test for each of the two hypotheses 0 = 0.6 and 0 = 0.8. (c) Suppose you run an experiment and the data gives x = 4. Compute the p-value of this data.

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter9: Counting And Probability

Section9.3: Binomial Probability

Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...

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