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Sample Size Calculator

What is the use of a Sample Size Calculator?

A Sample Size Calculator is a tool used to determine the number of participants required for a survey or experiment. It helps ensure that the sample represents the target population with a desired level of confidence and precision. By providing inputs like population size, confidence level, and margin of error, the calculator computes the ideal sample size. This is particularly useful in research, marketing surveys, and statistical experiments to achieve reliable results while minimizing costs.

Formula for Sample Size Calculation

The formula for calculating sample size is: n = (Z² × p × (1-p)) / E², where:

  • Z = Z-score (confidence level)
  • p = estimated population proportion
  • E = margin of error

How to Use the Sample Size Calculator Website

To use this website, input the following values:

  • Population size: Total size of the target group.
  • Confidence level: Typically 95% or 99%.
  • Margin of error: Desired precision (e.g., 5%).
  • Population proportion: Expected proportion (e.g., 0.5 for 50%).
Click "Calculate" to view the result. The tool will display the required sample size and provide step-by-step calculations. Use the "Clear" button to reset all inputs.

Enter Data and Customize Plot

Scatter Plot Results

Construct the scatterplot diagram by the given data of X and Y variables:

X Y

Now by the predicted and the response variable, we construct the following table:

FAQs

1. What is a sample size calculator?

A sample size calculator determines the number of participants required for reliable survey or research outcomes based on input criteria like population size, confidence level, and margin of error.