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. 2016 Jul 18;11(7):e0159362. doi: 10.1371/journal.pone.0159362

Table 1. Sample Size for Frequency in a Population (from OpenEpi, Version 3, open source calculator—SSPropor).

Sample Size for Frequency in a Population
Population size(for finite population correction factor or fpc)(N): 1300
Hypothesized % frequency of outcome factor in the population (p): 50%+/-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
90% 225
95% 297
99% 440
Equation
Sample size n = [DEFF*Np(1-p)]/ [(d2/Z21-α/2*(N-1)+p*(1-p)]