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Due Thu 12/12/2019 11:59 pm You want to obtain a sample to estimate a population proportion. At this point in time, you have no reasonable preliminary estimation for the population proportion. You would like to be 99% confident that you estimate is within 4% of the true population proportion. How large of a sample size is required? Hìnt: Video +]

Due Thu 12/12/2019 11:59 pm You want to obtain a sample to estimate a population proportion. At this point in time, you have no reasonable preliminary estimation for the population proportion. You would like to be 99% confident that you estimate is within 4% of the true population proportion. How large of a sample size is required? Hìnt: Video +]

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 ANSWER IS MOT 1040 NOR 1041. THAT IS WRONG !

Due Thu 12/12/2019 11:59 pm You want to obtain a sample to estimate a population proportion. At this point in time, you have no reasonable preliminary estimation for the population proportion. You would like to be 99% confident that you estimate is within 4% of the true population proportion. How large of a sample size is required? Hìnt: Video +]
Transcribed Image Text:Due Thu 12/12/2019 11:59 pm You want to obtain a sample to estimate a population proportion. At this point in time, you have no reasonable preliminary estimation for the population proportion. You would like to be 99% confident that you estimate is within 4% of the true population proportion. How large of a sample size is required? Hìnt: Video +]
Expert Solution
Step 1

Given Data
Error = 4% = 0.04
Confidence level = 0.99
Significance level = α=1-0.99=0.01

= Z0.005 -2.57583 Zo.01 (From Excel = NORM.S.INV(0.005)) Assuming Population proportion to be 0.5 p= 0.5 Margin of error formula is given by p(1-p) E = Za X п Simplifying the above formula (Za п 3 p(1 — р) х -2.57583 = 0.5 × (1 – 0.5) × 1036.7 2 1037 0.04
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