you would like to be 99% confident that you estimate is within 5% of the true population proportion. how large of a sample size is required?

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20-12-2022
Mathematics

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you would like to be 99% confident that you estimate is within 5% of the true population proportion. how large of a sample size is required?

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Tutorconsortium412 Tutorconsortium412 · Answer 1 · 2022-12-23T05:51:32-05:00

When we would like to be 99% confident that our estimate is within 5% of the true population proportion. The sample size is large by 78795.

What is the sample size?

The number of individuals or observations included in research is referred to as the sample size. Usually, n is used to indicate this number. Two statistical characteristics are influenced by the sample size: 1) The accuracy of our estimations, and 2) The ability to draw inferences from the study.

How to measure sample size?

Count the number of people (if known).

The confidence interval should be determined.

Establish the degree of trust.

Calculate the standard deviation (a standard deviation of 0.5 is a safe choice where the figure is unknown)

Create a Z-Score by converting the confidence level.

n = [2.8070/0.005]^2*(1/2)(1/2) = 78795 when rounded up

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