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A Die Is Rolled 180 Times and the Following Data

Question 12

Multiple Choice

A die is rolled 180 times and the following data are obtained.Is the die fair? A die is rolled 180 times and the following data are obtained.Is the die fair?   A)    : The die is not fair.   : The die is fair (all numbers occur with equal frequency) . Conclusion: Do not reject the null hypothesis.There is insufficient evidence to claim that the numbers on the die do not occur with equal frequency. B)    : The die is not fair.   : The die is fair (all numbers occur with equal frequency) . Conclusion: Do not reject the null hypothesis.There is sufficient evidence to claim that the numbers on the die do not occur with equal frequency. C)    : The die is fair (all numbers occur with equal frequency) .   : The die is not fair. Conclusion: Do not reject the null hypothesis.The data do not provide sufficient evidence to conclude that the die is loaded. D)    : The die is fair (all numbers occur with equal frequency) .   : The die is not fair. Conclusion: Reject the null hypothesis.There is sufficient evidence to claim that the numbers on the die do not occur with equal frequency. E)    : The die is not fair.   : The die is fair (all numbers occur with equal frequency) . Conclusion: Reject the null hypothesis.There is sufficient evidence to claim that the numbers on the die do not occur with equal frequency.


A)
A die is rolled 180 times and the following data are obtained.Is the die fair?   A)    : The die is not fair.   : The die is fair (all numbers occur with equal frequency) . Conclusion: Do not reject the null hypothesis.There is insufficient evidence to claim that the numbers on the die do not occur with equal frequency. B)    : The die is not fair.   : The die is fair (all numbers occur with equal frequency) . Conclusion: Do not reject the null hypothesis.There is sufficient evidence to claim that the numbers on the die do not occur with equal frequency. C)    : The die is fair (all numbers occur with equal frequency) .   : The die is not fair. Conclusion: Do not reject the null hypothesis.The data do not provide sufficient evidence to conclude that the die is loaded. D)    : The die is fair (all numbers occur with equal frequency) .   : The die is not fair. Conclusion: Reject the null hypothesis.There is sufficient evidence to claim that the numbers on the die do not occur with equal frequency. E)    : The die is not fair.   : The die is fair (all numbers occur with equal frequency) . Conclusion: Reject the null hypothesis.There is sufficient evidence to claim that the numbers on the die do not occur with equal frequency.
: The die is not fair.
A die is rolled 180 times and the following data are obtained.Is the die fair?   A)    : The die is not fair.   : The die is fair (all numbers occur with equal frequency) . Conclusion: Do not reject the null hypothesis.There is insufficient evidence to claim that the numbers on the die do not occur with equal frequency. B)    : The die is not fair.   : The die is fair (all numbers occur with equal frequency) . Conclusion: Do not reject the null hypothesis.There is sufficient evidence to claim that the numbers on the die do not occur with equal frequency. C)    : The die is fair (all numbers occur with equal frequency) .   : The die is not fair. Conclusion: Do not reject the null hypothesis.The data do not provide sufficient evidence to conclude that the die is loaded. D)    : The die is fair (all numbers occur with equal frequency) .   : The die is not fair. Conclusion: Reject the null hypothesis.There is sufficient evidence to claim that the numbers on the die do not occur with equal frequency. E)    : The die is not fair.   : The die is fair (all numbers occur with equal frequency) . Conclusion: Reject the null hypothesis.There is sufficient evidence to claim that the numbers on the die do not occur with equal frequency.
: The die is fair (all numbers occur with equal frequency) .
Conclusion: Do not reject the null hypothesis.There is insufficient evidence to claim that the numbers on the die do not occur with equal frequency.
B)
A die is rolled 180 times and the following data are obtained.Is the die fair?   A)    : The die is not fair.   : The die is fair (all numbers occur with equal frequency) . Conclusion: Do not reject the null hypothesis.There is insufficient evidence to claim that the numbers on the die do not occur with equal frequency. B)    : The die is not fair.   : The die is fair (all numbers occur with equal frequency) . Conclusion: Do not reject the null hypothesis.There is sufficient evidence to claim that the numbers on the die do not occur with equal frequency. C)    : The die is fair (all numbers occur with equal frequency) .   : The die is not fair. Conclusion: Do not reject the null hypothesis.The data do not provide sufficient evidence to conclude that the die is loaded. D)    : The die is fair (all numbers occur with equal frequency) .   : The die is not fair. Conclusion: Reject the null hypothesis.There is sufficient evidence to claim that the numbers on the die do not occur with equal frequency. E)    : The die is not fair.   : The die is fair (all numbers occur with equal frequency) . Conclusion: Reject the null hypothesis.There is sufficient evidence to claim that the numbers on the die do not occur with equal frequency.
: The die is not fair.
A die is rolled 180 times and the following data are obtained.Is the die fair?   A)    : The die is not fair.   : The die is fair (all numbers occur with equal frequency) . Conclusion: Do not reject the null hypothesis.There is insufficient evidence to claim that the numbers on the die do not occur with equal frequency. B)    : The die is not fair.   : The die is fair (all numbers occur with equal frequency) . Conclusion: Do not reject the null hypothesis.There is sufficient evidence to claim that the numbers on the die do not occur with equal frequency. C)    : The die is fair (all numbers occur with equal frequency) .   : The die is not fair. Conclusion: Do not reject the null hypothesis.The data do not provide sufficient evidence to conclude that the die is loaded. D)    : The die is fair (all numbers occur with equal frequency) .   : The die is not fair. Conclusion: Reject the null hypothesis.There is sufficient evidence to claim that the numbers on the die do not occur with equal frequency. E)    : The die is not fair.   : The die is fair (all numbers occur with equal frequency) . Conclusion: Reject the null hypothesis.There is sufficient evidence to claim that the numbers on the die do not occur with equal frequency.
: The die is fair (all numbers occur with equal frequency) .
Conclusion: Do not reject the null hypothesis.There is sufficient evidence to claim that the numbers on the die do not occur with equal frequency.
C)
A die is rolled 180 times and the following data are obtained.Is the die fair?   A)    : The die is not fair.   : The die is fair (all numbers occur with equal frequency) . Conclusion: Do not reject the null hypothesis.There is insufficient evidence to claim that the numbers on the die do not occur with equal frequency. B)    : The die is not fair.   : The die is fair (all numbers occur with equal frequency) . Conclusion: Do not reject the null hypothesis.There is sufficient evidence to claim that the numbers on the die do not occur with equal frequency. C)    : The die is fair (all numbers occur with equal frequency) .   : The die is not fair. Conclusion: Do not reject the null hypothesis.The data do not provide sufficient evidence to conclude that the die is loaded. D)    : The die is fair (all numbers occur with equal frequency) .   : The die is not fair. Conclusion: Reject the null hypothesis.There is sufficient evidence to claim that the numbers on the die do not occur with equal frequency. E)    : The die is not fair.   : The die is fair (all numbers occur with equal frequency) . Conclusion: Reject the null hypothesis.There is sufficient evidence to claim that the numbers on the die do not occur with equal frequency.
: The die is fair (all numbers occur with equal frequency) .
A die is rolled 180 times and the following data are obtained.Is the die fair?   A)    : The die is not fair.   : The die is fair (all numbers occur with equal frequency) . Conclusion: Do not reject the null hypothesis.There is insufficient evidence to claim that the numbers on the die do not occur with equal frequency. B)    : The die is not fair.   : The die is fair (all numbers occur with equal frequency) . Conclusion: Do not reject the null hypothesis.There is sufficient evidence to claim that the numbers on the die do not occur with equal frequency. C)    : The die is fair (all numbers occur with equal frequency) .   : The die is not fair. Conclusion: Do not reject the null hypothesis.The data do not provide sufficient evidence to conclude that the die is loaded. D)    : The die is fair (all numbers occur with equal frequency) .   : The die is not fair. Conclusion: Reject the null hypothesis.There is sufficient evidence to claim that the numbers on the die do not occur with equal frequency. E)    : The die is not fair.   : The die is fair (all numbers occur with equal frequency) . Conclusion: Reject the null hypothesis.There is sufficient evidence to claim that the numbers on the die do not occur with equal frequency.
: The die is not fair.
Conclusion: Do not reject the null hypothesis.The data do not provide sufficient evidence to conclude that the die is loaded.
D)
A die is rolled 180 times and the following data are obtained.Is the die fair?   A)    : The die is not fair.   : The die is fair (all numbers occur with equal frequency) . Conclusion: Do not reject the null hypothesis.There is insufficient evidence to claim that the numbers on the die do not occur with equal frequency. B)    : The die is not fair.   : The die is fair (all numbers occur with equal frequency) . Conclusion: Do not reject the null hypothesis.There is sufficient evidence to claim that the numbers on the die do not occur with equal frequency. C)    : The die is fair (all numbers occur with equal frequency) .   : The die is not fair. Conclusion: Do not reject the null hypothesis.The data do not provide sufficient evidence to conclude that the die is loaded. D)    : The die is fair (all numbers occur with equal frequency) .   : The die is not fair. Conclusion: Reject the null hypothesis.There is sufficient evidence to claim that the numbers on the die do not occur with equal frequency. E)    : The die is not fair.   : The die is fair (all numbers occur with equal frequency) . Conclusion: Reject the null hypothesis.There is sufficient evidence to claim that the numbers on the die do not occur with equal frequency.
: The die is fair (all numbers occur with equal frequency) .
A die is rolled 180 times and the following data are obtained.Is the die fair?   A)    : The die is not fair.   : The die is fair (all numbers occur with equal frequency) . Conclusion: Do not reject the null hypothesis.There is insufficient evidence to claim that the numbers on the die do not occur with equal frequency. B)    : The die is not fair.   : The die is fair (all numbers occur with equal frequency) . Conclusion: Do not reject the null hypothesis.There is sufficient evidence to claim that the numbers on the die do not occur with equal frequency. C)    : The die is fair (all numbers occur with equal frequency) .   : The die is not fair. Conclusion: Do not reject the null hypothesis.The data do not provide sufficient evidence to conclude that the die is loaded. D)    : The die is fair (all numbers occur with equal frequency) .   : The die is not fair. Conclusion: Reject the null hypothesis.There is sufficient evidence to claim that the numbers on the die do not occur with equal frequency. E)    : The die is not fair.   : The die is fair (all numbers occur with equal frequency) . Conclusion: Reject the null hypothesis.There is sufficient evidence to claim that the numbers on the die do not occur with equal frequency.
: The die is not fair.
Conclusion: Reject the null hypothesis.There is sufficient evidence to claim that the numbers on the die do not occur with equal frequency.
E)
A die is rolled 180 times and the following data are obtained.Is the die fair?   A)    : The die is not fair.   : The die is fair (all numbers occur with equal frequency) . Conclusion: Do not reject the null hypothesis.There is insufficient evidence to claim that the numbers on the die do not occur with equal frequency. B)    : The die is not fair.   : The die is fair (all numbers occur with equal frequency) . Conclusion: Do not reject the null hypothesis.There is sufficient evidence to claim that the numbers on the die do not occur with equal frequency. C)    : The die is fair (all numbers occur with equal frequency) .   : The die is not fair. Conclusion: Do not reject the null hypothesis.The data do not provide sufficient evidence to conclude that the die is loaded. D)    : The die is fair (all numbers occur with equal frequency) .   : The die is not fair. Conclusion: Reject the null hypothesis.There is sufficient evidence to claim that the numbers on the die do not occur with equal frequency. E)    : The die is not fair.   : The die is fair (all numbers occur with equal frequency) . Conclusion: Reject the null hypothesis.There is sufficient evidence to claim that the numbers on the die do not occur with equal frequency.
: The die is not fair.
A die is rolled 180 times and the following data are obtained.Is the die fair?   A)    : The die is not fair.   : The die is fair (all numbers occur with equal frequency) . Conclusion: Do not reject the null hypothesis.There is insufficient evidence to claim that the numbers on the die do not occur with equal frequency. B)    : The die is not fair.   : The die is fair (all numbers occur with equal frequency) . Conclusion: Do not reject the null hypothesis.There is sufficient evidence to claim that the numbers on the die do not occur with equal frequency. C)    : The die is fair (all numbers occur with equal frequency) .   : The die is not fair. Conclusion: Do not reject the null hypothesis.The data do not provide sufficient evidence to conclude that the die is loaded. D)    : The die is fair (all numbers occur with equal frequency) .   : The die is not fair. Conclusion: Reject the null hypothesis.There is sufficient evidence to claim that the numbers on the die do not occur with equal frequency. E)    : The die is not fair.   : The die is fair (all numbers occur with equal frequency) . Conclusion: Reject the null hypothesis.There is sufficient evidence to claim that the numbers on the die do not occur with equal frequency.
: The die is fair (all numbers occur with equal frequency) .
Conclusion: Reject the null hypothesis.There is sufficient evidence to claim that the numbers on the die do not occur with equal frequency.

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