Understand that there are variations in confidence intervals between samples and that most, but not all, confidence intervals contain 𝑝.

mm-u4-t5-s1-d5

Interactive

Do confidence intervals cover p?

manipulative

Draw sample proportion CIs and watch hit rate settle near the confidence level — each bar’s width comes from that sample’s p̂(1−p̂), including SE=0 extremes.

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