A chi-squared test for independence with 6 degrees of freedom results in a test statistic $\chi ^ { 2 } = 13.58$ . Using the $x ^ { 2 }$ tables, the most accurate statement that can be made about the p-value for this test is that: A)p-value 0.10. B)p-value 0.05. C)0.05

Question

A chi-squared test for independence with 6 degrees of freedom results in a test statistic $\chi ^ { 2 } = 13.58$ . Using the $x ^ { 2 }$ tables, the most accurate statement that can be made about the p-value for this test is that: A)p-value > 0.10. B)p-value > 0.05. C)0.05 < p-value < 0.10. D)0.025 < p-value < 0.05.

Quizplus · Accepted Answer

The p-value is between 0.025 and 0.05 because the test statistic is greater than the critical value for 0.05 but less than the critical value for 0.025.

A Chi-Squared Test for Independence with 6 Degrees of Freedom χ2=13.58\chi ^ { 2 } = 13.58χ2=13.58

A Chi-Squared Test for Independence with 6 Degrees of Freedom $\chi ^ { 2 } = 13.58$