An ordinary die is fair or balanced if each face has an equal chance of landing on
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Question:
- An ordinary die is "fair" or "balanced" if each face has an equal chance of landing on top when the die is rolled. Thus the proportion of times a three is observed in a large number of tosses is expected to be close to 1/6 or0.16
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- 0.16-.Suppose a die is rolled 240 times and shows three on top 36 times, for a sample proportion of 0.15.
- Find the probability that a fair die would produce a proportion of 0.15 or less. You may assume that the normal distribution applies.
- Give an interpretation of the result in part (b). How strong is the evidence that the die is not fair?
- Suppose the sample proportion 0.15 came from rolling the die 2,400 times instead of only 240 times. Rework part (a) under these circumstances.
- Give an interpretation of the result in part (c). How strong is the evidence that the die is not fair?
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