Precision
Precision is how tightly an estimate pins down a parameter, so a narrower confidence interval is a more precise one.
Precision is the flip side of the width of a confidence interval: the narrower the interval, the more precisely you have located the parameter. You buy precision with sample size, and the price rises quickly, because the margin of error shrinks like . For example, going from n = 100 to n = 400 doubles from 10 to 20 and so halves the margin of error, turning a 6-point interval into a 3-point one. Precision is not accuracy: a biased sampling method can hand you a very precise estimate of the wrong number.
Where this comes up
More confidence intervals terms, or browse the full statistics glossary.