Simulations to Illustrate Variation in Confidence Intervals between Samples

In this post, we use simulation to illustrate variations in confidence intervals between samples and to show that most but not all confidence intervals contain $p$ . This syllabus dot point is a part of the QCE Maths Methods course under the topic Interval Estimates for Proportions and the Normal Distribution and sub-part Confidence Intervals for Proportions, specifically simulations to illustrate variation in confidence intervals between samples.