Find the critical value and rejection region for the type of chi-square test with sample size n and level of significance α $\alpha$ Right-tailed test, $\mathrm { n } = 18 , \alpha = 0.01$
A) $\chi ^ { 2 } 0 = 33.409 ; \chi ^ { 2 } 33.409$
B) $\chi ^ { 2 } 0 = 27.587 ; \chi ^ { 2 } 27.587$
C) $\chi ^ { 2 } 0 = 30.181 ; \chi ^ { 2 } 30.181$
D) $\chi ^ { 2 } 0 = 35.718 ; \chi ^ { 2 } 35.718$

Question

Find the critical value and rejection region for the type of chi-square test with sample size n and level of significance α $\alpha$ Right-tailed test, $\mathrm { n } = 18 , \alpha = 0.01$
A) $\chi ^ { 2 } 0 = 33.409 ; \chi ^ { 2 } > 33.409$
B) $\chi ^ { 2 } 0 = 27.587 ; \chi ^ { 2 } > 27.587$
C) $\chi ^ { 2 } 0 = 30.181 ; \chi ^ { 2 } > 30.181$
D) $\chi ^ { 2 } 0 = 35.718 ; \chi ^ { 2 } > 35.718$

Quizplus · Accepted Answer

The critical value for a chi-square test is found using degrees of freedom, which is $n-1$ for a sample size of $n$. Here, $n = 18$, so degrees of freedom $= 18 - 1 = 17$. At a significance level of $\alpha = 0.01$, the critical value for 17 degrees of freedom is approximately $33.409$. The rejection region for a right-tailed test is $\chi^2 > 33.409$.

Find the Critical Value and Rejection Region for the Type α\alphaα

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