Respuesta :
Answer:
The sample size 'n' = 576
576 times should you execute the process to get the desired precision
Step-by-step explanation:
Explanation :-
Step(i)
Given data the process can turn 60% of the input compounds into the desired synthesized compound.
Sample proportion ' p' = 60% = 0.60
Given data the estimate within 0.04 of the true proportion that is converted
The margin of error of the true population proportion
M.E = 0.04
Step(ii)
The margin of error of the true population proportion is determined by
[tex]M.E = \frac{ Z_{0.05} \sqrt{p(1-p)} }{\sqrt{n} }[/tex]
[tex]0.04 = \frac{ 1.96 \sqrt{0.60(1-0.60)} }{\sqrt{n} }[/tex]
[tex]\sqrt{n} = \frac{ 1.96 \sqrt{0.60(1-0.60)} }{0.04 }[/tex]
on calculation, we get
[tex]\sqrt{n} = 24[/tex]
squaring on both sides ,we get
n = 576
Final answer:-
The sample size 'n' = 576
576 times should you execute the process to get the desired precision
