Answer:
3.09
Step-by-step explanation:
The sample proportion can be calculated as phat=x/n
phat=180/590=0.305
The z statistic for proportion can be calculated as
[tex]Z=\frac{phat-p}{\sqrt{\frac{pq}{n} } }[/tex]
Where p=population proportion=0.25
q=1-p=1-0.25=0.75
n=590
phat=sample proportion=0.305
So, the required z-statistic is
[tex]Z=\frac{0.305-0.25}{\sqrt{\frac{0.25(0.75)}{590} } }[/tex]
[tex]Z=\frac{0.055}{\sqrt{\frac{0.1875}{590} } }[/tex]
[tex]Z=\frac{0.055}{\sqrt{0.0003178 } }[/tex]
z=3.085
As the rounding of answer to two decimal places is needed, so, the z statistic=3.09.
