Question

# In a Chi-Square Independence test the test statistic is 1.88 and the critical value is 3.84....

In a Chi-Square Independence test the test statistic is 1.88 and the critical value is 3.84. Which of the following can we conclude?

 Reject H0 and conclude that the variables are related Reject HO and conclude that the variables are not related Not reject H0 and conclude that the variables are related Not reject H0 and conclude that the variables are not related

Solution:

Given: In a Chi-Square Independence test the test statistic is 1.88 and the critical value is 3.84.

Hypothesis for Chi-Square test of Independence are:

H0: Two variables/Attributes are independent or not related.

Vs

H1: Two variables/Attributes are not independent or related.

Rejection Rule: Reject null hypothesis H0, if Chi-square test statistic value > Chi-square critical value, otherwise we fail to reject null hypothesis H0.

Since Chi-square test statistic value = 1.88 < Chi-square critical value = 3.84, we failed to reject null hypothesis H0.

Thus correct option is fourth option:

Not reject H0 and conclude that the variables are not related