What Is The Minimum Sample Size Required To Estimate A Population Proportion. The minimum sample size required to estimate the population proportion is n p1-pbiggfraczEbigg2 where p is the proportion of success z is the Z_alpha2 critical value of Z E is. This is the point estimate of the population proportion.
If you use the estimate of 034 instead of 05 the minimum sample size decreases to 675. P and q unknown. The sample size may not be large enough for some cases ie the margin of error not as small as specified.
Sample Size and Confidence Interval.
N z c σ E 2. For a confidence level of 95 α is 005 and the critical value is 196 MOE is the margin of error p is the sample proportion and N is the population size. N N 1 4 N 1 d 2 z α 2 2 1 4. I discuss determining the minimum sample size required to achieve a given margin of error when estimating a population proportion.
