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Confidence intervals

AP Stats: UNC (BI), UNC‑4 (EU)

Introduction to confidence intervals

AP Stats: UNC (BI), UNC‑4 (EU), UNC‑4.A (LO), UNC‑4.A.1 (EK), UNC‑4.F (LO), UNC‑4.F.1 (EK), UNC‑4.F.2 (EK), UNC‑4.F.3 (EK), UNC‑4.F.4 (EK)

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Confidence intervals and margin of error

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Confidence interval simulation

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Interpreting confidence level example

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Interpreting confidence levels and confidence intervals

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Confidence intervals for proportions

AP Stats: UNC (BI), UNC‑4 (EU), UNC‑4.A (LO), UNC‑4.A.1 (EK), UNC‑4.B (LO), UNC‑4.B.1 (EK), UNC‑4.B.2 (EK), UNC‑4.C (LO), UNC‑4.C.1 (EK), UNC‑4.C.2 (EK), UNC‑4.C.3 (EK), UNC‑4.C.4 (EK), UNC‑4.D (LO), UNC‑4.D.1 (EK), UNC‑4.D.2 (EK), UNC‑4.F (LO), UNC‑4.F.4 (EK), UNC‑4.G (LO), UNC‑4.G.1 (EK), UNC‑4.H (LO), UNC‑4.H.1 (EK), UNC‑4.H.2 (EK)

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Conditions for valid confidence intervals

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Conditions for confidence intervals worked examples

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Reference: Conditions for inference on a proportion

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Critical value (z*) for a given confidence level

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Example constructing and interpreting a confidence interval for p

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Interpreting a z interval for a proportion

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Determining sample size based on confidence and margin of error

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Practice

Conditions for a z interval for a proportionGet 3 of 4 questions to level up!

Finding the critical value z* for a desired confidence levelGet 3 of 4 questions to level up!

Calculating a z interval for a proportionGet 3 of 4 questions to level up!

Sample size and margin of error in a z interval for pGet 3 of 4 questions to level up!

Confidence intervals for means

AP Stats: UNC (BI), UNC‑4 (EU), UNC‑4.O (LO), UNC‑4.O.1 (EK), UNC‑4.O.3 (EK), UNC‑4.P (LO), UNC‑4.P.1 (EK), UNC‑4.Q (LO), UNC‑4.Q.1 (EK), UNC‑4.Q.2 (EK), UNC‑4.Q.3 (EK), UNC‑4.R (LO), UNC‑4.R.1 (EK), UNC‑4.R.2 (EK), UNC‑4.T (LO), UNC‑4.T.1 (EK), UNC‑4.U (LO)

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Introduction to t statistics

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Simulation showing value of t statistic

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Conditions for valid t intervals

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Reference: Conditions for inference on a mean

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Example finding critical t value

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Example constructing a t interval for a mean

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Confidence interval for a mean with paired data

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Making a t interval for paired data

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Interpreting a confidence interval for a mean

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Sample size for a given margin of error for a mean

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Practice

Conditions for a t interval for a meanGet 3 of 4 questions to level up!

Finding the critical value t* for a desired confidence levelGet 3 of 4 questions to level up!

Calculating a t interval for a meanGet 3 of 4 questions to level up!

Sample size and margin of error in a confidence interval for a meanGet 3 of 4 questions to level up!

About this unit

Confidence intervals give us a range of plausible values for some unknown population parameter based on results from a sample. This unit covers confidence intervals for means and proportions using data from one sample.