Of the following statements, which one is true about the chi-square statistic and p-value? Choose (d) if all statements are true.
A)The p-value for the chi-square distribution is the area under the curve to the right of the observed chi-square statistic.
B)The larger the chi-square statistic, the larger the p-value.
C)Under the assumption that the null hypothesis is true, the p-value is the probability that the chi- square statistic will be as small as or smaller than the observed value.
D)All of the above statements are true.

Question

Quizplus · Accepted Answer

A) The p-value for the chi-square distribution is indeed the area under the curve to the right of the observed chi-square statistic, reflecting the probability of observing a chi-square statistic as extreme as, or more extreme than, the observed value under the null hypothesis. B) is incorrect because a larger chi-square statistic typically indicates a smaller p-value, suggesting a greater discrepancy from the null hypothesis. C) is incorrect because the p-value represents the probability of observing a chi-square statistic as extreme as or more extreme than the observed value, not as small as or smaller.

Of the Following Statements, Which One Is True About the Chi-Square