Suppose we conduct a chi-square goodness-of-fit test to determine if a 6-sided die is fair. We roll the die 10 times, and the resulting p-value is very large. What may we conclude? Select all that apply.
A) We have proven that the die is fair.
B) The hypothesis that the die is fair is plausible.
C) There is evidence that the die is fair.
D) There is evidence against the hypothesis that the die is not fair.
E) There is little to no evidence that the die is not fair. F. We have proven that the hypothesis that the die is not fair is false.

Question

Quizplus · Accepted Answer

A large p-value suggests that the observed data is consistent with the null hypothesis, which in this case is that the die is fair. Therefore, the hypothesis that the die is fair is plausible, and there is little to no evidence against it. However, it does not prove the die is fair.

Suppose We Conduct a Chi-Square Goodness-Of-Fit Test to Determine If