Question

Hi, can you help me answer this question please, thank you!

Answer 1

`\begin{gathered} ME=z\cdot\sqrt[]{(p\cdot q)/(n)} \\ 0.05=1.96\cdot\sqrt[]{(0.5\cdot(1-0.5))/(n)} \\ 1.96\sqrt{(0.5\cdot\:0.5)/(n)}\cdot\: 100=0.05\cdot\: 100 \\ \\ 196\sqrt{(0.5\cdot\:0.5)/(n)}=5 \\ \sqrt{(0.5\cdot\:0.5)/(n)}=(5)/(196) \\ (0.25)/(n)=(25)/(38416) \\ n=(9604)/(25)=384.16=385 \end{gathered}`