Answer:
Sample size 'n' = 1067
Step-by-step explanation:
Explanation:-
Given margin of error of the true proportion
M.E = 0.03
The margin of error is determined by
[tex]M.E =Z_{\alpha } \frac{\sqrt{p(1-p)} }{\sqrt{n} }[/tex]
Level of significance = 0.95
The critical value Z₀.₀₅ = 1.96
The margin of error is
[tex]0.03 =1.96 \frac{\sqrt{p(1-p)} }{\sqrt{n} }[/tex]
we know that
[tex]\sqrt{p(1-p} \leq \frac{1}{2}[/tex]
[tex]0.03 =\frac{1.96 X\frac{1}{2} }{\sqrt{n} }[/tex]
on cross multiplication , we get
√n = 32.66
Squaring on both sides, we get
n = 1066.6≅1067
