Confidence intervals for proportions
11 hours
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Understand the concept of an interval estimate for a parameter associated with a random variable.
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Understand 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.
1 interactive
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Understand and use the approximate margin of error, 𝑧√𝑝̂(1−𝑝̂) 𝑛.
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Understand and use the relationship between margin of error, level of confidence and sample size.
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Understand that there are variations in confidence intervals between samples and that most, but not all, confidence intervals contain 𝑝.
1 interactive
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Model and solve problems that involve interval estimates for proportions, with and without technology.