A Die Is Rolled 180 Times and the Following Data

A die is rolled 180 times and the following data are obtained.Is the die fair? Number Frequency
1 31
2 34
3 26
4 16
5 32
6 41

A) H0: The die is not fair. HA: 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) H0: The die is not fair. HA: 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) H0: The die is fair (all numbers occur with equal frequency) . HA: 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) H0: The die is fair (all numbers occur with equal frequency) . HA: 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) H0: The die is not fair. HA: 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.

Correct Answer:

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