Approximate Margin of Error

In this post, we define the approximate margin of error E = z \sqrt{ \frac{\hat{p} (1-\hat{p} )}{n} } and understand the trade-off between the margin of error and level of confidence. 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 approximate margin of error.

Margin of Error

Margin of error

Approximating margin of error