Answer: 0.064
Step-by-step explanation:
The formula to find the margin of error :-
[tex]E=z_{\alpha/2}\sqrt{\dfrac{p(1-p)}{n}}[/tex]
Given : Significance level : [tex]\alpha=1-0.99=0.01[/tex]
Critical value : [tex]z_{\alpha/2}=2.576[/tex]
Sample size : n=400
The proportion of people support the candidate :p=0.44
Then , [tex]E=(2.576)\sqrt{\dfrac{0.44(1-0.44)}{400}}\approx0.064[/tex]
Hence, Margin of error = 0.064
