Read 4.9% in the context of the inputs, rather than as a stand-alone fact. Write down the units and the meaning of each value if the result will be shared or used later.
The result assumes a probability sample and a normal approximation. It does not account for nonresponse, question wording, weighting, clustering or other survey design effects.
The finite-population correction is used only when sampling without replacement from a stated population larger than the sample.
A calculator can perform consistent arithmetic, but it cannot judge whether a measurement, quote, survey or financial assumption is suitable. Check the source information before acting on the answer.
It is often helpful to run a second reasonable case. Changing one input at a time shows which assumption drives the result and gives a clearer picture than adding more decimal places to one estimate.
Keep rounding in proportion to the inputs. Exact conversion factors may produce long decimals, while measured and quoted values are usually less precise. Retain extra digits during the calculation and round at the end.
If another source gives a different figure, compare definitions before deciding that either answer is wrong. Similar names can hide a different unit, timing rule, standard, denominator or list of included costs.
For this margin of error calculator, a good written record contains the formula MOE = z × √(p(1 − p) ÷ n), with an optional finite-population correction, the entered values and the final rounding. That short note makes the result much easier to check later than a copied answer on its own.
