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Chapter 4 · Sampling · Slide 153/274

What the Margin of Error Formula Tells Us

The only lever to lower the margin of error is a larger n — everything else is fixed.

4.4 · Sample Size Takeaway

What the Margin of Error Formula Tells Us


E = z · sqrt(π(1−π)/n)
n ↑
lowers E
z ↑
raises E
1

The only lever to lower the margin of error is a larger n — everything else is fixed.

2

More certainty means a larger z → the margin of error grows → you need an even larger n to push it back down.

Smaller margins of error require larger samples.
Higher confidence levels require larger samples.
QUESTIONSTAR · Dr. Paul Marx 153 / 274
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