Complete the statement by filling in the blanks. when constructing a confidence interval, a larger sample size will decrease the margin of error and the confidence interval will be narrower.
The square root of the sample size and the margin of error are known to be inversely related. In light of this, the margin of error gets smaller as sample size grows. The width of the confidence interval will therefore be reduced.
The percentage point difference between your results and the actual population value is indicated by the margin of error. If your statistic is within 4 percentage points of the true population value 95% of the time, for instance, it has a 95% confidence interval with a 4% margin of error.
But the official definition includes a few more details. The range of values within a confidence interval that are both lower and higher than the sample statistic is the margin of error.
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