MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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![The image contains handwritten notes for a statistical calculation to determine the sample size needed for a study. The notes are as follows:
- \( p = 0.28 \): This represents the estimated proportion from previous data or pilot study.
- \( Z_{α/2} = 2.326 \): This is the Z-value corresponding to the desired confidence level in a standard normal distribution.
- \( m = 0.03 \): This represents the margin of error the study is willing to accept.
The question "What sample size is needed" is labeled and followed by the formula to calculate the sample size:
\[ n = \frac{0.28(1-0.28)(2.326)^2}{(0.03)^2} \]
This formula is used to calculate the minimum sample size required to estimate a population proportion with a specified margin of error at a given confidence level.](https://content.bartleby.com/qna-images/question/ec14e990-b688-4546-bc93-b34622e3f728/f0712de1-8ef6-4cdd-968e-e5b3fde61404/m36nfae_processed.jpeg)
Transcribed Image Text:The image contains handwritten notes for a statistical calculation to determine the sample size needed for a study. The notes are as follows:
- \( p = 0.28 \): This represents the estimated proportion from previous data or pilot study.
- \( Z_{α/2} = 2.326 \): This is the Z-value corresponding to the desired confidence level in a standard normal distribution.
- \( m = 0.03 \): This represents the margin of error the study is willing to accept.
The question "What sample size is needed" is labeled and followed by the formula to calculate the sample size:
\[ n = \frac{0.28(1-0.28)(2.326)^2}{(0.03)^2} \]
This formula is used to calculate the minimum sample size required to estimate a population proportion with a specified margin of error at a given confidence level.
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