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Why is the value considered for Critical value, or Z* is positive 1.96? Why not negative 1.96?

Why is the value considered for Critical value, or Z* is positive 1.96? Why not negative 1.96?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Why is the value considered for Critical value, or Z* is positive 1.96? Why not negative 1.96?

Calculating the Margin of Error margin of error = (critical value)(standard error of statistic) In the verifying signatures example, we are asked to construct a 95% confidence interval. To find the critical value z* for a 95% confidence interval, find the boundaries encompassing the middle 95% of the standard normal distribution. -z* = -1.96 area = 0.95 z* = 1.96 The critical value is z* = 1.96.
Transcribed Image Text:Calculating the Margin of Error margin of error = (critical value)(standard error of statistic) In the verifying signatures example, we are asked to construct a 95% confidence interval. To find the critical value z* for a 95% confidence interval, find the boundaries encompassing the middle 95% of the standard normal distribution. -z* = -1.96 area = 0.95 z* = 1.96 The critical value is z* = 1.96.
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