what is the sample size if the population is 1500 and the margin of error is 1%?. Created by precious2254. Math

what is the sample size if the population is 1500 and the margin of error is 1%?...

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precious2254 @precious2254

September 2022 1 2 Report

what is the sample size if the population is 1500 and the margin of error is 1%?

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Hanimeya

Verified answer

SAMPLE SIZE

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Problem

What is the sample size if the given population is 1,500 and the margin of error is set at 1%?

Given

N = 1,500.00
e = 1%
n = ?

Solution

Determine the sample size using the formula in which n is the sample size, N is the population and e is the acceptable sampling error

$\bold{Formula\:||\:Sample_{Size} = \frac{N}{1\:+\: {N}^{2} } }$
$\large\tt{\red{Sample_{Size}} = \frac{1,500}{1 \:+\: (1,500){(0.01)}^{2} } }$

Substitute the values of n and e to the formula and solve for the product at the denominator then simplify

$\large\tt{Sample_{Size} = \frac{N}{1\: + \:{N}^{2} }}$

$\large\tt{Sample_{Size} = \frac{1,500}{1 \:+ \:(1,500) (0.01)²}}$

$\large\tt{Sample_{Size} = \frac{1,500}{ 1 \:+ \:(1,500) (0.0004) }}$

$\large\tt{Sample_{Size} = \frac{1,500}{1.6}}$

$\underline{\large\tt\red{937.5= Sample_{Size}}}$

Final Answer

Therefore, The sample size needed is 937

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SAMPLE SIZE

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Directions: Identify the following symbols. Write the answer on your answer shee...

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kung may alam ka sharing is caring

5. Which kind of tool is attached to the bench that holds lumber for easy workin...

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