# How do you find the sample size when given the margin of error?

## How do you find the sample size when given the margin of error?

How to calculate margin of error

1. Get the population standard deviation (σ) and sample size (n).
2. Take the square root of your sample size and divide it into your population standard deviation.
3. Multiply the result by the z-score consistent with your desired confidence interval according to the following table:

## What is the sample size if 3% is the margin of error?

To obtain a 3 percent margin of error at a 90 percent level of confidence requires a sample size of about 750. For a 95 percent level of confidence, the sample size would be about 1,000.

How do you find the sample size when given the margin of error and standard deviation?

So the formula in order to determine the sample size is, n= ((z * σ)/MOE)2. In this formula, z is the z value obtained from the Z distribution table. σ is the population standard deviation of the data set. The MOE is the margin of error that is desired.

How do you find the margin of error for a sample size and a confidence interval?

The margin of error is equal to half the width of the entire confidence interval. The width of the confidence interval is 18.5 – 12.5 = 6. The margin of error is equal to half the width, which would be 6/2 = 3.

### What is the margin of error for a sample size of 2000?

2.2%
In Figure 2.2, you again find that as the sample size increases, the margin of error decreases….Table 2.1.

Sample Size (n) Margin of Error (M.E.)
1500 2.6%
2000 2.2%
3000 1.8%
4000 1.6%

### How do you calculate effective sample size?

The effective sample size (ESS) is an estimate of the sample size required to achieve the same level of precision if that sample was a simple random sample. Mathematically, it is defined as n/D, where n is the sample size and D is the design effect.

How do you calculate sample size using Slovin’s formula?

– is used to calculate the sample size (n) given the population size (N) and a margin of error (e). -It is computed as n = N / (1+Ne2).

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