Final answer:
The margin of error for a 95% confidence level with a sample size of 325 and an estimated proportion of 0.25 is 0.036.
Step-by-step explanation:
The margin of error for a 95% confidence level can be calculated using the formula:
Margin of Error = Zα/2 * sqrt((p*(1-p))/n)
Where:
- Zα/2 is the critical value corresponding to the desired confidence level (for a 95% confidence level, Zα/2 = 1.96)
- p is the estimated proportion (in this case, p = 0.25)
- n is the sample size (325 in this case)
Substituting the values into the formula:
Margin of Error = 1.96 * sqrt((0.25 * (1-0.25))/325) = 0.036
Therefore, the margin of error for a 95% confidence level with a sample size of 325 and an estimated proportion of 0.25 is 0.036.