OpenBook Krejcie-Morgan Calculator 

OpenBook Krejcie-Morgan Calculator (OK-M Calculator, 2024) is a free online sample size calculator developed to help research students or other researchers from various fields worldwide, having problem in calculation using Krejcie-Morgan Sample Size Formula manually, determine sample size accurately.

Krejcie and Morgan formula was introduced in 1970 as an alternative formula in computing sample size for categorical data. The formula is written as:

n = x²Np(1-p)/e²(N-1)+x²p(1-p)

Where:

• n = Number of Samples,
• N = Total Population,
• e = Error Tolerance (Level) or Margin of Error, 0.05,
• p = Sample Proportion, 0.5,
• x² = Chi-Square value found in Chi-Square Table, 3.841.

The table below is Chi-Square Table for most use confidence level or confidence interval.

Example Question: Use Krejcie-Morgan Sample Size Formula to find out what sample of a population of 17,552,940 people in Lagos State, Nigeria, you need to take for a survey on their Techno Phone preferences.

Step 1: Figure out what you want your confidence level to be. For example, you might want a confidence level of 95 percent (giving you an alpha level or confidence interval or margin error of 0.05).

Step 2. Plug your data into the formula. In this example, we’ll use a 95 percent confidence level with a population size of 17,552,940.

• n = x²Np(1-p)/e²(N-1)+x²p(1-p) =
• 3.841*17552940*0.5*(1-0.5)/(0.05)²*(17552940-1)+3.841*0.5*(1-0.5)

          = 384.091617045

Step 3: Round your answer to a whole number (because you can’t sample a fraction of a person or thing!)

• 384.091617045 ≅ 384

To use OpenBook Krejcie-Morgan Calculator (OK-M Calculator, 2024), click here to get it from the homepage.

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