Question

Finding the critical value z*What is the critical value z* for constructing an %85 confidence interval ?A. 1.036B. 1.282C. 1.341D. 1.44

Answer 1

The critical value z* for constructing an 85% confidence interval is approximately 0.96.

Step-by-step explanation:

The critical value z* for constructing an 85% confidence interval can be found by looking up the z-score associated with the desired confidence level. In this case, the confidence level is 85%, which corresponds to an area of 0.425 in the middle of a standard normal distribution. The area in the far right tail is (1-0.425)/2 = 0.2875. Using a standard normal distribution table or calculator, we can find that the z-score associated with an area of 0.2875 is approximately 0.96.

Answer 2

From the table for the z-value score,

The respective z-values is 1.44. Then, the answer is option D.