You want to obtain a sample to estimate a population proportion. At this point in time, you have noreasonable estimate for the population proportion. You would like to be 90% confident that youesimate is within 0.5% of the true population proportion. How large of a sample size is required?n =Do not round mid-calculation. However, use a critical value accurate to three decimal places.

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Description: You want to obtain a sample to estimate a population proportion. At this point in time, you have noreasonable estimate for the population proportion. You would like to be 90% confident that youesimate is within 0.5% of the true population proportion

Answered: You want to obtain a sample to estimate…

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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You want to obtain a sample to estimate a population proportion. At this point in time, you have no
reasonable estimate for the population proportion. You would like to be 90% confident that you
esimate is within 0.5% of the true population proportion. How large of a sample size is required?
n =
Do not round mid-calculation. However, use a critical value accurate to three decimal places.

Expert Solution

Step 1

The sample proportion is an estimate for population proportion. When the estimate for population proportion is absent, it is assumed to be equal to $0.5 (50 %)$

For $90 %$ confidence level, the level of significance is $α = 1 - 0.90 = 0.10$

The two tailed critical z value at level of significance $0.10$ is $\pm 1.645$

The margin of error is given to be $0.005$

Formula for margin of error is $M O E = z_{α / 2} . \sqrt{\frac{P Q}{n}}$

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