Question

Find the critical value z subscript alpha divided by 2zα/2 that corresponds to the given confidence level

Answer 1

To find the critical value $z_{\alpha/2}$ that corresponds to 97% confidence level:

Step 1:
Subtract 0.97 from 1:

1 - 0.97 = 0.03

Step 2:
Divide 0.03 by 2:

0.03 / 2 = 0.015

Step 3:
Subtract 0.03 from 1:

1 - 0.015 = 0.985

Step 4:
From the normal distribution table, the z score that corresponds to a probability of 0.985 is 2.17.

Therefore, the critical value that corresponds to 97% confidence level is 2.17.