Answer :
Answer:
-0.462
Step-by-step explanation:
The null hypothesis is:
[tex]H_{0} = 0.25[/tex]
The alternate hypotesis is:
[tex]H_{1} \neq 0.25[/tex]
Our test statistic is:
[tex]t = \frac{X - \mu}{s}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the population mean(the null hypothesis), [tex]\sigma[/tex] is s is the standard deviation of the sample.
In this problem:
[tex]X = \frac{23}{100} = 0.23, \mu = \frac{25}{100} = 0.25, s = \sqrt{\frac{0.25*0.75}{100}} = 0.0433[/tex]
So
[tex]t = \frac{0.23 - 0.25}{0.0433} = -0.462[/tex]
So the correct answer is:
-0.462