Question

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

Answer 1

The formula for the test hypothesis for proportion

$Z=\frac{p-p_0}{\sqrt[]{\frac{p_0(1-p_0)}{n}}}$

Given

$\begin{gathered} p=\frac{63}{108}=0.5833 \\ \\ p_0=0.59 \\ n=108 \end{gathered}$

Substitute into the formula

$\begin{gathered} Z=\frac{0.5833-0.59}{\sqrt[]{\frac{0.59(1-0.59)}{108}}} \\ \\ Z=\frac{-0.0067}{\sqrt[]{0.000224}} \\ \\ Z=-0.1416 \\ To\text{ two decimal place} \\ Z=-0.14 \end{gathered}$