1 1 A fair six-sided die is rolled independently 12 times. You are testing the hypothesis that the probability of rolling a six is p versus the alternative that p 6 = 6' The test rejects the null hypothesis if either 0 or 5 or more sixes are observed. (a) (2 points) What is the significance level (Type I error rate) of the test? (b) (3 points) If the true probability of rolling a six is p = 0.3, what is the Type II error rate of the test?

1 1 A fair six-sided die is rolled independently 12 times. You are testing the hypothesis that the probability of rolling a six is p versus the alternative that p 6 = 6' The test rejects the null hypothesis if either 0 or 5 or more sixes are observed. (a) (2 points) What is the significance level (Type I error rate) of the test? (b) (3 points) If the true probability of rolling a six is p = 0.3, what is the Type II error rate of the test?

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter9: Sequences, Probability And Counting Theory

Section9.7: Probability

Problem 1SE: What term is used to express the likelihood of an event occurring? Are there restrictions on its...

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