Question

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

Answer 1

Margin of error=0.015

90%level of confidence

letter a

`\begin{gathered} ME=z\cdot\sqrt[]{(p\cdot(1-p))/(n)} \\ 0.015=1.645\cdot\sqrt[]{(0.5\cdot(1-0.5))/(n)} \\ 0.015=1.645\cdot\sqrt[]{(0.5\cdot0.5)/(n)} \\ 0.015=1.645\cdot\sqrt[]{(0.25)/(n)} \\ n=3006.694=3007 \end{gathered}`

letter b

`\begin{gathered} ME=z\cdot\sqrt[]{(p\cdot(1-p))/(n)} \\ 0.015=1.645\cdot\sqrt[]{(0.18\cdot0.82)/(n)} \\ 0.015=1.645\cdot\sqrt[]{(0.1476)/(n)} \\ n=1775.1524=1776 \end{gathered}`