.1-9.3)
Question 3 of 10
This question: $1 \mathrm{p}$
$K$
Compute the critical value $z_{\alpha / 2}$ that corresponds to a $85 \%$ level of confidence.
Click here to view the standard normal distribution table (page 1).
Click here to view the standard normal distribution table (page 2).
\[
z_{\alpha / 2}=\square
\]
(Round to two decimal places as needed.)
Answer
Final Answer: $z_{\alpha / 2} = \boxed{1.44}$
Step 1 ：The level of confidence is 85%, which means the level of significance, $\alpha$, is 1 - 0.85 = 0.15.
Step 2 ：Since we are looking for $z_{\alpha / 2}$, we need to divide $\alpha$ by 2, which gives us 0.075.
Step 3 ：We then look for this value in the standard normal distribution table to find the corresponding z-score.
Step 4 ：The critical value $z_{\alpha / 2}$ that corresponds to a $85 \%$ level of confidence is approximately 1.44 when rounded to two decimal places.
Step 5 ：Final Answer: $z_{\alpha / 2} = \boxed{1.44}$
