# For each of the following confidence levels, determine the corresponding Z score. Confidence Level Alpha Area Beyond Z Z score 95% 0.05 0.0250 ± 1.96 94% 92% 97% 98%

### Essentials Of Statistics

4th Edition
HEALEY + 1 other
Publisher: Cengage Learning,
ISBN: 9781305093836

### Essentials Of Statistics

4th Edition
HEALEY + 1 other
Publisher: Cengage Learning,
ISBN: 9781305093836

#### Solutions

Chapter
Section
Chapter 6, Problem 6.3P
Textbook Problem
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## For each of the following confidence levels, determine the corresponding Z score. Confidence Level Alpha Area Beyond Z Z score 95% 0.05 0.0250 ± 1.96 94% 92% 97% 98%

Expert Solution
To determine

The Z score

### Explanation of Solution

Formula:

The relationship between confidence interval and level of significance (the probability of error) is:

C.I = 1 – α

Calculation:

For the confidence interval 94%, the alpha value is:

α= 1 – 0.94 = 0.06

The next step to find the Z score, one has to divide the α value into the upper and lower tails of the distribution.

Here, for α= 0.06, one can place 0.03 in the lower tail and 0.03 in the upper tail.

Therefore, the Z score beyond which lies a proportion of 0.03 of the total area is ± 1.88

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