A chi-square test for independence with 10 degrees of freedom results in a test statistic of 18.21.Using the chi-square table,the most accurate statement that can be made about the p-value for this test is that:
A)0)01

Question

A chi-square test for independence with 10 degrees of freedom results in a test statistic of 18.21.Using the chi-square table,the most accurate statement that can be made about the p-value for this test is that:
A)0)01< p-value < 0.025
B)0)025 < p-value < 0.05
C)0)05 < p-value < 0.10
D)0)10 < p-value < 0.20

Quizplus · Accepted Answer

Looking at the chi-square table with 10 degrees of freedom, we find that the critical value for a significance level of 0.05 is 18.31. Since our test statistic is 18.21, it falls just below the critical value. Therefore, the p-value must be greater than 0.05 and less than 0.10. Hence, the most accurate statement is C: 0.05 < p-value < 0.10.

A Chi-Square Test for Independence with 10 Degrees of Freedom