Estimating a Proportion & Confidence Interval for a Proportion

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What is a confidence interval?

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A confidence interval is a range of values that is used to estimate the true value of a population parameter with a certain level of confidence.

Tags

CCSS.HSS.IC.B.4

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What does the term 'parameter' refer to in statistics?

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A parameter is a numerical characteristic of a population, such as a mean or proportion.

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CCSS.HSS.IC.B.3

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What is a point estimate?

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A point estimate is a single value that serves as an estimate of a population parameter.

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CCSS.HSS.IC.B.3

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What is the margin of error in the context of confidence intervals?

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The margin of error is the amount added to and subtracted from the point estimate to create the confidence interval.

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CCSS.HSS.IC.B.4

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How do you calculate a confidence interval for a proportion?

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The confidence interval for a proportion is calculated using the formula: point estimate ± margin of error.

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CCSS.HSS.IC.B.4

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What is the critical value (z*) in statistics?

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The critical value (z*) is a multiplier that determines the width of the confidence interval based on the desired confidence level.

Tags

CCSS.HSS.ID.A.4

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What is the Large Counts condition?

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The Large Counts condition states that both np and n(1-p) must be greater than or equal to 10 to use the normal approximation for a proportion.

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How do you find the critical value for a 94% confidence interval?

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For a 94% confidence interval, the critical value (z*) is approximately 1.881.

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What is the relationship between confidence level and critical value?

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As the confidence level increases, the critical value (z*) also increases, resulting in a wider confidence interval.

Tags

CCSS.HSS.IC.B.4

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What is the formula for calculating the margin of error for a proportion?

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The margin of error for a proportion is calculated as: z* × sqrt( (p(1-p))/n ), where p is the sample proportion and n is the sample size.

Tags

CCSS.HSS.IC.B.4