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Confidence Intervals
Grade Level
Algebra II
ALG2.226 Confidence Intervals
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A student wonders why margin of error shrinks when sample size grows. Which statement best connects sample size to margin of error for common confidence intervals?
A
Margin of error is proportional to n, so larger n makes it larger.
B
Margin of error is proportional to 1 ÷ √n, so increasing n increases √n and makes the margin of error smaller.
C
Margin of error is unrelated to n; only the confidence level matters.
D
Margin of error gets smaller because the sample mean stops changing when n increases.
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