Answer: 149
Step-by-step explanation:
Given : The proportion of of residents in her city that carry the Hepatitis A virus =0.46
Margin of error : [tex]E=0.08[/tex]
Significance level : [tex]\alpha=1-0.95=0.05[/tex]
Critical value : [tex]z_{\alpha/2} =1.96[/tex]
The formula to calculate the sample size :-
[tex]n=(p(1-p))(\dfrac{z_{\alpha/2}}{E})^2[/tex]
[tex]\Rightarrow\ n= (0.46(0.54))(\dfrac{(1.96)}{0.08})^2\\\\\Rightarrow\ n=149.1021\approx149[/tex]
Hence, the required minimum sample size = 149
