Unformatted text preview: 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” may be greater than 1/6. We roll the die 1000 times, and the number of “six” we observe is 180. (1) Suppose we ﬁx the probability of type I error to be 2 . 5%. Then what is the decision rule? 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. Calculate the probability of type II error of the decision rule in (1). 1...
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 Spring '11
 Wu
 Type I and type II errors, STAT 100B HW

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