Understanding Margin of Error Concepts Quiz

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| Questions: 20 | Updated: Nov 16, 2025
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1) A news poll reports: “52% support the new policy, margin of error ±3%.” What is the best interpretation of the margin of error?

Explanation

Margin of error tells how far the sample result might be from the true population value.

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About This Quiz
Understanding Margin Of Error Concepts Quiz - Quiz

This quiz tests your understanding of margin of error in polling and surveys. You'll interpret the meaning of margin of error in various contexts and scenarios. The questions will also focus on how margin of error influences the confidence in survey results and its relationship with sample size and confidence... see morelevels. see less

2)
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2) In a poll with margin of error ±4%, the sample proportion is 46%. Which interval best represents the plausible range for the population proportion?

Explanation

46% ± 4% → 42% to 50%.

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3) Which change generally reduces the margin of error?

Explanation

Larger sample → smaller margin.

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4) What does the population parameter refer to?

Explanation

A parameter is the true value.

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5) Which is a sample statistic?

Explanation

A statistic is calculated from a sample.

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6) A campaign reports 60% ± 2%. Best statement?

Explanation

Means true support likely 58–62.

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7) Two polls MOE ±3% and ±5%. Which is more precise?

Explanation

Smaller margin → more precise.

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8) If sample size doubles, MOE generally:

Explanation

Bigger sample → smaller MOE.

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9) Survey finds 40% ± 8%. Best statement?

Explanation

40 ± 8 → 32 to 48.

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10) Which factor MOE depends on?

Explanation

MOE mainly depends on sample size.

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11) Best interval?

Explanation

54 ± 4 → 50–58.

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12) Based on MOE what conclusion?

Explanation

Interval includes values near 50.

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13) To reduce MOE:

Explanation

Increase sample size.

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14) If confidence increases, MOE:

Explanation

Higher confidence → bigger MOE.

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15) Meaning of 95% confidence?

Explanation

Meaning of confidence.

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16) Why MOE important?

Explanation

MOE matters when numbers close.

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17) Largest MOE?

Explanation

Smallest sample → largest MOE.

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18) Survey reports ±7%. Best statement?

Explanation

±7 means true value likely within 7 pts.

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19) Poll X: 49% ±2, Poll Y: 48% ±2. Conclusion?

Explanation

Intervals overlap.

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20) Statistic vs parameter?

Explanation

Statistic from sample; parameter true value.

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A news poll reports: “52% support the new policy, margin of error...
In a poll with margin of error ±4%, the sample proportion is 46%....
Which change generally reduces the margin of error?
What does the population parameter refer to?
Which is a sample statistic?
A campaign reports 60% ± 2%. Best statement?
Two polls MOE ±3% and ±5%. Which is more precise?
If sample size doubles, MOE generally:
Survey finds 40% ± 8%. Best statement?
Which factor MOE depends on?
Best interval?
Based on MOE what conclusion?
To reduce MOE:
If confidence increases, MOE:
Meaning of 95% confidence?
Why MOE important?
Largest MOE?
Survey reports ±7%. Best statement?
Poll X: 49% ±2, Poll Y: 48% ±2. Conclusion?
Statistic vs parameter?
Alert!

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