Data:
P: sample proportion
p0: hypothesis proportion
n: sample size
P: 58% = 0.58
p0: >50% (most adults)= 0.5
n:693
To find the value of the test statistic you use the next formula:
[tex]z=\frac{P-p0}{\sqrt[]{\frac{p0(1-p0)}{n}}}[/tex]Then you get:
[tex]z=\frac{0.58-0.5}{\sqrt[]{\frac{0.5(1-0.5)}{693}}}[/tex][tex]z\approx4.21[/tex]Then, the value of the test statistic is approx. 4.21