Answer:
The correct option is a
Step-by-step explanation:
From the question we are told that
The sample size is n = 415
The sample proportion is [tex]\r p = 0.49[/tex]
Now
The null hypothesis is [tex]H_o : p = 0.3[/tex]
The alternative hypothesis is [tex]H_a : p \ne 0.3[/tex]
The test statistics is mathematically evaluated as
[tex]t = \frac{\r p - p }{ \frac{\sqrt{ p (1- p )} }{n} }[/tex]
substituting values
[tex]t = \frac{0.49 - 0.3 }{ \sqrt{ \frac{0.3 (1- 0.3 ) }{415} }}[/tex]
[tex]t = 8.446[/tex]
