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
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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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 +]
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

From the given information, the estimate to be within 4% of true proportion with 99% confidence.

Let us consider the population proportion (p) is 0.5, the margin of error is 0.04 and the confidence level is 99%.

The significance level is 0.01(=1-confidence level=1-0.99).

From z distribution table, the z critical value for α/2=0.01/2=0.005 and two tail test is ±2.58.

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