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 left of the chi-square statistic.
B)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.
C)The larger the chi-square statistic, the smaller the p-value.
D)All of the above statements are true.

Question

Quizplus · Accepted Answer

The correct statement is C: "The larger the chi-square statistic, the smaller the p-value." This is because a larger chi-square statistic indicates a greater deviation from the null hypothesis, leading to a smaller p-value, which suggests stronger evidence against the null hypothesis. Statement A is incorrect because the p-value for the chi-square distribution is the area under the curve to the right of the chi-square statistic, not to the left. Statement B is also incorrect because under the null hypothesis, the p-value is the probability that the chi-square statistic will be as large as or larger than the observed value, not as small as or smaller.

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