Answer:
Step-by-step explanation:
Hello!
The parameter of interest is "the population proportion of people that like soccer A news channel"= p
The hypothesis are:
H₀: p = 0.45
H₁: p ≠ 0.45
To study the population proportion you have to use the approximation of the standard normal distribution:
[tex]Z= \frac{p'-p}{\sqrt{\frac{p(1-p)}{n} } }[/tex] ≈ N(0;1)
A sample of n=30 was taken and surveyed, 18 of those answered positively, then the sample proportion is:
p'= 18/30= 0.6
The statistic under the null hypothesis is:
[tex]Z_{H_0}= \frac{0.60-0.45}{\sqrt{\frac{0.45*0.55}{30} } } = 1.6514[/tex]
I hope it helps!
