Answer:
The answer is "6.635776".
Step-by-step explanation:
If the proportion estimation is not given, then the approximate is true. So, it is in the top condition, which referring its overall error margin that is equal to 0.5.
Therefore the margin of error=0.05 With z=2.576
[tex]\to 0.05=2.576 \times \sqrt{(0.05 \times \frac{0.05}{N})}\\\\\to 0.05=2.576 \times \sqrt{( \frac{0.0025}{N})}\\\\\to \sqrt{N}= \frac{2.576 \times 0.05}{0.05}\\\\\to \sqrt{N}= 2.576[/tex]
square the above equation:
[tex]\to (N)^2= (2.576)^2\\\\\to N^2= 6.635776\\\\[/tex]
So the number of required residents=6.635776