Find the value of $\mathrm { Z } _ { \alpha / 2 }$ that corresponds to a confidence level of 89.48%.
A) 1.25
B) -1.62
C) 0.0526
D) 1.62

Question

Quizplus · Accepted Answer

The confidence level of 89.48% corresponds to an alpha value of 1 - 0.8948 = 0.1052. Dividing this by 2 gives an alpha value of 0.0526. Looking up this value in a standard normal distribution table (or using a calculator or software), we find that the corresponding Z-score is approximately 1.62. Since we are looking for $\mathrm { Z } _ { \alpha / 2 }$, we take the positive value and choose answer choice D, 1.62.

Find the Value Of Zα/2\mathrm { Z } _ { \alpha / 2 }Zα/2​

Find the Value Of $\mathrm { Z } _ { \alpha / 2 }$