The sample size was computed using the following formula:\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ n\ge \frac{\left[p1\left(1-p1\right)+p2\left(1-p2\right)\right]}{\left(P1-P2\right)}x\left(z1-\alpha +z1-\beta \right)2 $$\end{document}n≥p11−p1+p21−p2P1−P2xz1−α+z1−β2