Sample Size for Proportions: Learn It 3

  • Find the required sample size for a desired margin of error and population’s confidence interval.
It is important to note that the formula [latex]ME = z^{*} \cdot (\text{standard error})[/latex] is valid only if certain conditions are met:

  • Random sampling is used.
  • The sample is less than 10% of the population.
  • The sample is large enough that [latex]n\hat{p} \geq 10[/latex] and [latex]n(1-\hat{p}) \geq 10[/latex].