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You Roll a Die 48 Times with the Following Results

Question 10

Multiple Choice

You roll a die 48 times with the following results.Is the die fair? You roll a die 48 times with the following results.Is the die fair?   A)    : 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. 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.There is insufficient evidence to claim that the numbers on the die do not occur with equal frequency. 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: Do not reject the null hypothesis.There is insufficient evidence to claim that the numbers on the die do not occur with equal frequency.


A)
You roll a die 48 times with the following results.Is the die fair?   A)    : 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. 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.There is insufficient evidence to claim that the numbers on the die do not occur with equal frequency. 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: Do not reject the null hypothesis.There is insufficient evidence to claim that the numbers on the die do not occur with equal frequency.
: The die is not fair.
You roll a die 48 times with the following results.Is the die fair?   A)    : 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. 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.There is insufficient evidence to claim that the numbers on the die do not occur with equal frequency. 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: Do not reject the null hypothesis.There is insufficient 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.
B)
You roll a die 48 times with the following results.Is the die fair?   A)    : 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. 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.There is insufficient evidence to claim that the numbers on the die do not occur with equal frequency. 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: Do not reject the null hypothesis.There is insufficient evidence to claim that the numbers on the die do not occur with equal frequency.
: The die is not fair.
You roll a die 48 times with the following results.Is the die fair?   A)    : 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. 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.There is insufficient evidence to claim that the numbers on the die do not occur with equal frequency. 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: Do not reject the null hypothesis.There is insufficient 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)
You roll a die 48 times with the following results.Is the die fair?   A)    : 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. 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.There is insufficient evidence to claim that the numbers on the die do not occur with equal frequency. 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: Do not reject the null hypothesis.There is insufficient 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) .
You roll a die 48 times with the following results.Is the die fair?   A)    : 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. 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.There is insufficient evidence to claim that the numbers on the die do not occur with equal frequency. 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: Do not reject the null hypothesis.There is insufficient 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.There is insufficient evidence to claim that the numbers on the die do not occur with equal frequency.
D)
You roll a die 48 times with the following results.Is the die fair?   A)    : 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. 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.There is insufficient evidence to claim that the numbers on the die do not occur with equal frequency. 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: Do not reject the null hypothesis.There is insufficient 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) .
You roll a die 48 times with the following results.Is the die fair?   A)    : 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. 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.There is insufficient evidence to claim that the numbers on the die do not occur with equal frequency. 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: Do not reject the null hypothesis.There is insufficient 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)
You roll a die 48 times with the following results.Is the die fair?   A)    : 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. 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.There is insufficient evidence to claim that the numbers on the die do not occur with equal frequency. 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: Do not reject the null hypothesis.There is insufficient evidence to claim that the numbers on the die do not occur with equal frequency.
: The die is not fair.
You roll a die 48 times with the following results.Is the die fair?   A)    : 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. 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.There is insufficient evidence to claim that the numbers on the die do not occur with equal frequency. 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: Do not reject the null hypothesis.There is insufficient 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.

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