Table 1. Sample size for frequency in a population

Sample size
Population size (for finite population correction factor or fpc) (N) 10,000,000
Hypothesized % frequency of outcome factor in the population (p) 6%+/−5
Confidence limits as % of 100 (absolute +/− %) (d) 5%
Design effect (for cluster surveys-DEFF) 1
Sample size (n) for various confidence levels
Confidence level (%) Sample size
95 87
80 38
90 62
97 107
99 150
99.9 245
99.99 342
Equation
Sample size n = [DEFF × Np (1 − p)] / [(d2 / Z21−α/2 × (N − 1) + p × (1 − p)]