A Die Is Rolled 180 Times and the Following Data $x ^ { 2 }$

A die is rolled 180 times and the following data are obtained. Number Frequency
1 31
2 34
3 26
4 16
5 32
6 41
A chi-square test was conducted to determine whether or not the die is loaded (i.e.,that the six numbers are not equally likely) .Use a 5% level of significance. $x ^ { 2 }$ = 11.8; P-value = 0.03763

A) Reject the null hypothesis.The data provide sufficient evidence to conclude that the die is loaded.
B) Reject the null hypothesis.The data provide sufficient evidence to conclude that the die is fair.
C) Do not reject the null hypothesis.The data provide sufficient evidence to conclude that the die is loaded.
D) Do not reject the null hypothesis.The data do not provide sufficient evidence to conclude that the die is loaded.
E) Reject the null hypothesis.The data do not provide sufficient evidence to conclude that the die is loaded.

Correct Answer:

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