The minimum sample size of registered voters that are needs to be surveyed in order to meet these requirements is 16590 registered voters.
What is the required sample size?
The sample size, n, can be calculated using the formula below:
[tex]n = \frac{z^{2}×p(1-p)}{(\frac{ε}{2}) ^{2}}[/tex]
where:
- z = is the z score
- ε is the margin of error
- pis the population proportion
For the data provided:
z for 99% confidence = 2.58
ε/2 = 0.005
p = 0.5
Substituting the values:
[tex]n = \frac{2.58^{2}×0.5(1-0.5)}{0.005^{2}} = 16641[/tex]
Therefore, the minimum sample size of registered voters that are needs to be surveyed in order to meet these requirements is 16590 registered voters.
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