A chi-square test of a contingency table with 4 rows and 5 columns shows that the value of the test statistic is 22.18.The most accurate statement that can be made about the p-value for this test is that the p-value is:
A)greater than 0.05 but smaller than 0.10.
B)smaller than 0.025.
C)greater than 0.025 but smaller than 0.05.
D)greater than 0.10.

Question

Quizplus · Accepted Answer

Without knowing the degrees of freedom or significance level (α), we cannot determine the exact p-value. However, based on the test statistic value (22.18), it is likely that the p-value is smaller than 0.05. Since the question specifies that the most accurate statement that can be made about the p-value, the only option that fits is C, which states that the p-value is greater than 0.025 but smaller than 0.05. Option A is ruled out because the p-value cannot be greater than the significance level of 0.05. Option B is too specific and limits the range of the p-value too much. Option D is unlikely since the test statistic is relatively large.

A Chi-Square Test of a Contingency Table with 4 Rows