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Determine the significance level.

Determine the significance level.

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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The graph portrays the decision criterion for a one-mean z-test. The curve in the graph is the normal curve for the test statistic under the assumption that the null hypothesis is true. Use the graph to solve the problem. A graphical display of the decision criterion follows. The graph is a bell-shaped normal distribution curve centered at 0. It includes: - Two critical regions labeled "Reject Ho" at both ends of the curve, beyond the z-values of -2.05 and 2.05. - A non-critical region labeled "Do not reject Ho" between the z-values of -2.05 and 2.05. - The significance level (alpha) is indicated as 0.02 for each tail, totaling 0.04. Options to determine the significance level are provided: A. \( z \leq -2.05 \) or \( z \geq 2.05 \) B. \( z = \pm 2.05 \) C. \( \alpha = 0.02 \) D. \( \alpha = 0.04 \) The correct determination of the significance level involves recognizing that the total significance is the sum of both tails: \( \alpha = 0.04 \).
Transcribed Image Text:The graph portrays the decision criterion for a one-mean z-test. The curve in the graph is the normal curve for the test statistic under the assumption that the null hypothesis is true. Use the graph to solve the problem. A graphical display of the decision criterion follows. The graph is a bell-shaped normal distribution curve centered at 0. It includes: - Two critical regions labeled "Reject Ho" at both ends of the curve, beyond the z-values of -2.05 and 2.05. - A non-critical region labeled "Do not reject Ho" between the z-values of -2.05 and 2.05. - The significance level (alpha) is indicated as 0.02 for each tail, totaling 0.04. Options to determine the significance level are provided: A. \( z \leq -2.05 \) or \( z \geq 2.05 \) B. \( z = \pm 2.05 \) C. \( \alpha = 0.02 \) D. \( \alpha = 0.04 \) The correct determination of the significance level involves recognizing that the total significance is the sum of both tails: \( \alpha = 0.04 \).
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