Sample

Minimum sample size formula

Minimum sample size formula
  1. What is the formula of sample size?
  2. What is the minimal sample size needed for a 95 %?
  3. Why is 30 recommended as the minimum sample size?

What is the formula of sample size?

n = N*X / (X + N – 1), where, X = Zα/22 *p*(1-p) / MOE2, and Zα/2 is the critical value of the Normal distribution at α/2 (e.g. for a confidence level of 95%, α is 0.05 and the critical value is 1.96), MOE is the margin of error, p is the sample proportion, and N is the population size.

What is the minimal sample size needed for a 95 %?

A sample size of 385 corresponds with a confidence level of 95% and margin of error of 5% when you have a large population (> 100,000), which is often used in research.

Why is 30 recommended as the minimum sample size?

A sample size of 30 often increases the confidence interval of your population data set enough to warrant assertions against your findings. 4 The higher your sample size, the more likely the sample will be representative of your population set.

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