Find the critical value and rejection region for the type of chi-square test with sample size n and level of significance α $\alpha .$ Left-tailed test, $\mathrm { n } = 28 , \alpha = 0.10$
A) $\chi ^ { 2 } 0 = 18.114 ; \chi ^ { 2 }

Question

Find the critical value and rejection region for the type of chi-square test with sample size n and level of significance α $\alpha .$ Left-tailed test, $\mathrm { n } = 28 , \alpha = 0.10$
A) $\chi ^ { 2 } 0 = 18.114 ; \chi ^ { 2 } < 18.114$
B) $\chi ^ { 2 } 0 = 14.573 ; \chi ^ { 2 } < 14.573$
C) $\chi ^ { 2 } 0 = 16.151 ; \chi ^ { 2 } < 16.151$
D) $\chi ^ { 2 } 0 = 36.741 ; \chi ^ { 2 } < 36.741$

Quizplus · Accepted Answer

For a chi-square test, the degrees of freedom (df) are n-1, so with n=28, df=27. For a left-tailed test with $\alpha = 0.10$, we look up the critical value in a chi-square distribution table for df=27 and $\alpha = 0.10$, which gives $\chi ^ { 2 } 0 = 18.114$. The rejection region is $\chi ^ { 2 } < 18.114$.

Find the Critical Value and Rejection Region for the Type α.\alpha .α.

Find the Critical Value and Rejection Region for the Type $\alpha .$