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
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ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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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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