César Carrera
02/23/2021
The formulas used in this application are the following:
\[ \begin{aligned} x & = Z_{(c/100)}^{2}r(100-r) \\ n & = N\frac{x}{(N-1)E^2 + x} \\ E & = \sqrt{\frac{(N - n)x}{n(N-1)}} \end{aligned} \]
Where: \( N \) is the population size, \( r \) is the fraction of responses that you are interested in, and \( Z(c/100) \) is the critical value for the confidence level \( c \).