Margin of Error

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What is the definition of Margin of Error?

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The Margin of Error is a statistic that expresses the amount of random sampling error in a survey's results. It indicates the range within which the true value is expected to lie.

Tags

CCSS.HSS.IC.B.4

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How is the Margin of Error calculated?

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Margin of Error = Critical Value x Standard Error. The critical value is determined by the desired confidence level, and the standard error is calculated from the sample data.

Tags

CCSS.HSS.IC.B.4

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What does a 95% confidence interval mean?

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A 95% confidence interval means that if the same population were sampled multiple times, approximately 95% of the calculated intervals would contain the true population parameter.

Tags

CCSS.HSS.IC.B.4

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If a survey reports a margin of error of ±3%, what does this imply?

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It implies that the true value is expected to fall within 3 percentage points above or below the reported statistic.

Tags

CCSS.HSS.IC.B.4

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What is a confidence interval?

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A confidence interval is a range of values, derived from sample statistics, that is likely to contain the true population parameter.

Tags

CCSS.HSS.IC.B.4

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Given a sample mean of 50 and a margin of error of 5, what is the confidence interval?

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The confidence interval is (45, 55).

Tags

CCSS.HSS.IC.B.4

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What is the relationship between sample size and Margin of Error?

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As the sample size increases, the Margin of Error decreases, leading to a more precise estimate of the population parameter.

Tags

CCSS.HSS.IC.B.4

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What is the formula for calculating the confidence interval?

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Confidence Interval = Sample Mean ± Margin of Error.

Tags

CCSS.HSS.IC.B.4

Front

If a poll shows 60% support with a margin of error of ±4%, what is the range of support?

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The range of support is 56% to 64%.

Tags

CCSS.HSS.IC.B.3

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What does it mean if a Margin of Error is reported as ±2%?

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It means that the true value is expected to be within 2 percentage points above or below the reported statistic.

Tags

CCSS.HSS.IC.B.4