A Die Is Rolled 180 Times and the Following Data

Multiple Choice

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.