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Find the margin of error for the given values of c, a, and n. c = 0.90, a = 3.5, n = 100. %3D Level of Confidence 90% 1.645 95% 1.96 99% 2.575 O E= 1.235 OE= -0.576 TI OE-0.764 OE=0.576

Find the margin of error for the given values of c, a, and n. c = 0.90, a = 3.5, n = 100. %3D Level of Confidence 90% 1.645 95% 1.96 99% 2.575 O E= 1.235 OE= -0.576 TI OE-0.764 OE=0.576

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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Find the margin of error for the given values of c, o, and n.

c=0.90 o=3.5 n=100

**Problem: Calculating Margin of Error** To find the margin of error for the given values of confidence level \(c\), standard deviation \(\sigma\), and sample size \(n\), we have: - \(c = 0.90\) - \(\sigma = 3.5\) - \(n = 100\) **Table for \(z_c\) (Critical Value) based on Confidence Level:** | Level of Confidence | \(z_c\) | |---------------------|---------| | 90% | 1.645 | | 95% | 1.96 | | 99% | 2.575 | **Options for Margin of Error \(E\):** - \(E = 1.235\) - \(E = -0.576\) - \(E = 0.764\) - \(E = 0.576\) To determine the correct margin of error, use the formula: \[ E = z_c \times \frac{\sigma}{\sqrt{n}} \] Plug in the appropriate values from the table and given data to calculate the margin of error for each confidence level.
Transcribed Image Text:**Problem: Calculating Margin of Error** To find the margin of error for the given values of confidence level \(c\), standard deviation \(\sigma\), and sample size \(n\), we have: - \(c = 0.90\) - \(\sigma = 3.5\) - \(n = 100\) **Table for \(z_c\) (Critical Value) based on Confidence Level:** | Level of Confidence | \(z_c\) | |---------------------|---------| | 90% | 1.645 | | 95% | 1.96 | | 99% | 2.575 | **Options for Margin of Error \(E\):** - \(E = 1.235\) - \(E = -0.576\) - \(E = 0.764\) - \(E = 0.576\) To determine the correct margin of error, use the formula: \[ E = z_c \times \frac{\sigma}{\sqrt{n}} \] Plug in the appropriate values from the table and given data to calculate the margin of error for each confidence level.
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