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Question 111

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A gambler wanted to test whether or not a die was fair. He rolled the die 180 times and got the results shown below. For example, the number "1" appeared on 40 rolls. Use the following information for questions:  A gambler wanted to test whether or not a die was fair. He rolled the die 180 times and got the results shown below. For example, the number  1  appeared on 40 rolls.   -What is the null hypothesis for this chi-square goodness of fit test? A)  The probabilities of a 1, 2, …, 6 are 40/180, 40/180, …, 20/180, respectively. B)  The die is not fair: the probabilities of getting a particular number (e.g.  1 )  are not all equal. C)  The die is fair: the probability of getting any particular number (e.g.  1 )  is 1/6. D)  None of the above
-What is the null hypothesis for this chi-square goodness of fit test?


A) The probabilities of a 1, 2, …, 6 are 40/180, 40/180, …, 20/180, respectively.
B) The die is not fair: the probabilities of getting a particular number (e.g. "1") are not all equal.
C) The die is fair: the probability of getting any particular number (e.g. "1") is 1/6.
D) None of the above

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