Answer:
The number of doctors 'n' = 6.76
Step-by-step explanation:
Explanation:-
Given Estimate of the true population proportion = 5 % = 0.05
Given level of significance ∝ = 99% or 1%
Z₀.₀₁ = 2.576
The margin of error is determined by
[tex]M.E = \frac{2.576 X \sqrt{p(1-p)} }{\sqrt{n} }[/tex]
we know that [tex]\sqrt{p(1-p)} \leq \frac{1}{2}[/tex]
[tex]0.05 = \frac{2.576 X \frac{1}{2} }{\sqrt{n} }[/tex]
Cross multiplication , we get
[tex]\sqrt{n} = \frac{2.576 X \frac{1}{2} }{5}[/tex]
√n = 0.2576≅0.26
squaring on both sides,we get
n = 0.0676 X 100
n= 6.76
Final answer:-
The number of doctors 'n' = 6.76
