Confidence intervals for proportions

Mathematical Methods · Unit 4 — Further calculus, trigonometry and statistics · Interval estimates for proportions

Learning objectives (6)

LO-1Model and solve problems that involve interval estimates for proportions, with and without technology.LO-2Understand and use the approximate confidence interval, (𝑝̂ − 𝑧√𝑝̂(1−𝑝̂) 𝑛, 𝑝̂ + 𝑧√𝑝̂(1−𝑝̂) 𝑛), as an interval estimate for 𝑝, the population proportion, where 𝑧 is the appropriate quantile for the standard normal distribution.LO-3Understand and use the approximate margin of error, 𝑧√𝑝̂(1−𝑝̂) 𝑛.LO-4Understand and use the relationship between margin of error, level of confidence and sample size.LO-5Understand that there are variations in confidence intervals between samples and that most, but not all, confidence intervals contain 𝑝.LO-6Understand the concept of an interval estimate for a parameter associated with a random variable.

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