A chi-squared test for independence with 6 degrees of freedom results in a test statistic of 13.25. Using the chi-squared table, the most accurate statement that can be made about the p-value for this test is that 0.025

Question

A chi-squared test for independence with 6 degrees of freedom results in a test statistic of 13.25. Using the chi-squared table, the most accurate statement that can be made about the p-value for this test is that 0.025 < p-value < 0.05.

Quizplus · Accepted Answer

Based on the table, the critical value for a chi-squared test with 6 degrees of freedom at α = 0.05 is 12.592. Since our calculated test statistic of 13.25 is greater than this critical value, we would reject the null hypothesis at the 0.05 level of significance. However, the exact p-value is not given in the problem, so we cannot say with certainty what it is. But based on the fact that our test statistic exceeds the critical value, we can say that the p-value is less than 0.05 and greater than 0.025. Therefore, the statement "0.025 < p-value < 0.05" is the most accurate statement that can be made about the p-value for this test.

A Chi-Squared Test for Independence with 6 Degrees of Freedom