Question

Is the critical region for the Chi-Square Goodness of Fit test one- or two- sided? If it is one-sided, to which side? Why?

Answer 1

critical region for the Chi-Square Goodness of Fit test is a one sided test.

this is right side (tail ) test ; as value higher then critical value is in crtiical region,.

this is right tailed or one sided as we look for square of deviation from expected value from obsered value ;'as more then deviation more is the squared deviation and therfore higher will be chi square test statistic . while lower value will tell us that there is no deviaiton.

Hence it is always a right tailed test as rejection region tends to reflect higher deviation is on right side,