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Step 1: Introduce the given information Given, Confidence level, C = 90% = 0.90 Margin of error, E=3%=0.03 Step 2: Calculate the sample size (expression) Using formula, -P) [+] Sample size, n = p(1-p)x Here, Level of significance, α = 1-C = 1-0.90 = 0.10 At a = 0.10 the critical value is Z = 1.645 (Using Excel = NORM.S.INV(1-0-10)=1.645) 2 Since here no estimate for the population proportion (p) is provided, so we use p = 0.5. Therefore, sample size is, n=0.5x(1−0.5)x| 1.645 = (0.5)²x 0.03 1.645 0.03 The correct option is (B) Solution The correct option is (B)

Step 1: Introduce the given information Given, Confidence level, C = 90% = 0.90 Margin of error, E=3%=0.03 Step 2: Calculate the sample size (expression) Using formula, -P) [+] Sample size, n = p(1-p)x Here, Level of significance, α = 1-C = 1-0.90 = 0.10 At a = 0.10 the critical value is Z = 1.645 (Using Excel = NORM.S.INV(1-0-10)=1.645) 2 Since here no estimate for the population proportion (p) is provided, so we use p = 0.5. Therefore, sample size is, n=0.5x(1−0.5)x| 1.645 = (0.5)²x 0.03 1.645 0.03 The correct option is (B) Solution The correct option is (B)

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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how can we derive the formula in solving the value of the  sample size n?

Step 1: Introduce the given information Given, Confidence level, C = 90% = 0.90 Margin of error, E=3%=0.03 Step 2: Calculate the sample size (expression) Using formula, -P) [+] Sample size, n = p(1-p)x Here, Level of significance, α = 1-C = 1-0.90 = 0.10 At a = 0.10 the critical value is Z = 1.645 (Using Excel = NORM.S.INV(1-0-10)=1.645) 2 Since here no estimate for the population proportion (p) is provided, so we use p = 0.5. Therefore, sample size is, n=0.5x(1−0.5)x| 1.645 = (0.5)²x 0.03 1.645 0.03 The correct option is (B) Solution The correct option is (B)
Transcribed Image Text:Step 1: Introduce the given information Given, Confidence level, C = 90% = 0.90 Margin of error, E=3%=0.03 Step 2: Calculate the sample size (expression) Using formula, -P) [+] Sample size, n = p(1-p)x Here, Level of significance, α = 1-C = 1-0.90 = 0.10 At a = 0.10 the critical value is Z = 1.645 (Using Excel = NORM.S.INV(1-0-10)=1.645) 2 Since here no estimate for the population proportion (p) is provided, so we use p = 0.5. Therefore, sample size is, n=0.5x(1−0.5)x| 1.645 = (0.5)²x 0.03 1.645 0.03 The correct option is (B) Solution The correct option is (B)
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