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The margin of error is dependent on the confidence interval.

I'll give you examples to understand it better.

We know:

Confidence Interval (CI) = x(bar) ± margin of error (MOE)

MOE = (z confidence)(sigma sub x bar, aka standard error of mean)

When CI = 95%, MOE = (1.96)(sigma sub x bar)

When CI = 90%, MOE = (1.64)(sigma sub x bar)

Naturally, the margin of error will decrease as confidence level decreases.

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Q: Why does the margin of error increase as the confidence increases?
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