Unformatted text preview: . 5%. Should we reject H ? Problem 3: Suppose we want to test whether a die is fair or not. In particular, we suspect that the probability of getting a “six” is greater than 1/6. We roll the die 1000 times, and the number of “six” we observe is 180. (1) Suppose the signiﬁcance level is 2 . 5%. Should we declare that the die is not fair? (2) If the die is indeed not fair, and the probability of getting a “six” is .2. If the signiﬁcance level of the test is 2 . 5%. Calculate probabilities of type I error and type II error. 1...
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 Winter '11
 Wu
 Statistics, Type I and type II errors, significance level, Suppose

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