Question

A)What is the critical value for a chi-square test with 12 degrees of freedom at the 5 percent level of significance?

B) If the chi-square test statistic were 18.549, what is your conclusion regarding the null hypothesis?

C) What is your conclusion regarding the null hypothesis if the chi-square value were 22.10?

Answer 1

A) What is the critical value for a chi-square test with 12 degrees of freedom at the 5 percent level of significance?

Solution:

We are given α = 0.05, df = 12

So by using Chi square table or excel, the critical value is given as below:

Critical value = 21.02607

B) If the chi-square test statistic were 18.549, what is your conclusion regarding the null hypothesis?

Test statistic = 18.549

Critical value = 21.02607

Test statistic < Critical value

So, we do not reject the null hypothesis

C) What is your conclusion regarding the null hypothesis if the chi-square value were 22.10?

Test statistic = 22.10

Critical value = 21.02607

Test statistic > Critical value

So, we reject the null hypothesis