Answer: the margin of error is 0.02
Step-by-step explanation:
Confidence interval for population proportion is written as
Sample proportion ± margin of error
If the confidence interval for this population proportion is (0.52, 0.56.), it means that the lower boundary is 0.52 and the upper boundary is 0.56
Let x represent the sample proportion and y represent the margin of error. Therefore,
x - y = 0.52
x + y = 0.56
Subtracting the second equation from the first equation, it becomes
- 2y = - 0.04
y = - 0.04/-2
y = 0.02
