Find the critical value and rejection region for the type of z-test with level of significance α $\alpha$ Two-tailed test, α $\alpha = 0.10$ A) $- z _ { 0 } = - 1.645 , z _ { 0 } = 1.645 ; z 1.645$ B) $- z _ { 0 } = - 2.33 , z _ { 0 } = 2.33 ; z 2.33$ C) $- \mathrm { z } _ { 0 } = - 2.575 , \mathrm { z } _ { 0 } = 2.575 ; \mathrm { z } 2.575$ D) $- z _ { 0 } = - 1.96 , z _ { 0 } = 1.96 ; z 1.96$

Question

Find the critical value and rejection region for the type of z-test with level of significance α $\alpha$ Two-tailed test, α $\alpha = 0.10$ A) $- z _ { 0 } = - 1.645 , z _ { 0 } = 1.645 ; z < - 1.645 , z > 1.645$ B) $- z _ { 0 } = - 2.33 , z _ { 0 } = 2.33 ; z < - 2.33 , z > 2.33$ C) $- \mathrm { z } _ { 0 } = - 2.575 , \mathrm { z } _ { 0 } = 2.575 ; \mathrm { z } < - 2.575 , \mathrm { z } > 2.575$ D) $- z _ { 0 } = - 1.96 , z _ { 0 } = 1.96 ; z < - 1.96 , z > 1.96$

Quizplus · Accepted Answer

For a two-tailed test with $\alpha = 0.10$, the critical values are found by dividing the significance level by 2 for each tail ($0.05$ in each tail). Looking up $0.05$ in the z-table gives a z-score of approximately $1.645$, thus the critical values are $-1.645$ and $1.645$, and the rejection regions are $z < -1.645$ and $z > 1.645$.

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

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