The number of voters that should be sampled is 363
Using the Margin of Error formula :
- Margin of Error = Zcritical × √(p * (1 - p)) / n
- Zcritical at 95% = 1.96
- p = 0.62
Substituting our values into the formula:
4.99% = 1.96 × √(0.62 * 0.38) / n
0.0499 = 1.96 × √0.2356/n
0.0254591837 = √0.2356/n
square both sides
0.00064817 = 0.2356/n
0.00064817n = 0.2356
n = 363.48
n ≈ 363 samples