Find the critical value and rejection region for the type of z-test with level of significance α. Two-tailed test, α $\alpha = 0.01$ A) $- z _ { 0 } = - 2.575 , z _ { 0 } = 2.575 ; z 2.575$ B) $- z _ { 0 } = - 2.33 , z _ { 0 } = 2.33 ; z 2.33$ C) $- z _ { 0 } = - 1.645 , z _ { 0 } = 1.645 ; z 1.645$ 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. Two-tailed test, α $\alpha = 0.01$ A) $- z _ { 0 } = - 2.575 , z _ { 0 } = 2.575 ; z < - 2.575 , z > 2.575$ B) $- z _ { 0 } = - 2.33 , z _ { 0 } = 2.33 ; z < - 2.33 , z > 2.33$ C) $- z _ { 0 } = - 1.645 , z _ { 0 } = 1.645 ; z < - 1.645 , z > 1.645$ D) $- z _ { 0 } = - 1.96 , z _ { 0 } = 1.96 ; z < - 1.96 , z > 1.96$

Quizplus · Accepted Answer

For a two-tailed test with a significance level of $\alpha = 0.01$, the critical values are found by dividing the significance level by 2 (for the two tails) and looking up the corresponding z-value that accumulates the middle 98% of the distribution. The critical z-values are $\pm 2.575$, indicating rejection regions for z-scores less than -2.575 or greater than 2.575.

Find the Critical Value and Rejection Region for the Type α=0.01\alpha = 0.01α=0.01

Find the Critical Value and Rejection Region for the Type $\alpha = 0.01$