The formula to calculate the Sample Size (n) is:
\[ n = \frac{Z^2 \times p \times (1 - p)}{E^2} \]
Where:
A cluster sample size refers to the number of observations or data points collected from a subset of a population, where the population is divided into clusters. Each cluster is a group that shares similar characteristics. This method is often used in survey research and statistical analysis to make inferences about the entire population. The sample size is crucial for ensuring the accuracy and reliability of the results, as it affects the margin of error and the confidence level of the findings.
Let's assume the following values:
Using the formula to calculate the Sample Size:
\[ n = \frac{1.96^2 \times 0.5 \times (1 - 0.5)}{0.05^2} = \frac{3.8416 \times 0.25}{0.0025} = \frac{0.9604}{0.0025} = 384.16 \]
The Sample Size is approximately 384.16.
