Week 9: Confidence Intervals

In class this week we are looking at confidence intervals, starting with the proportion of successes (p) of a binomial process. p̂ is the sample estimate of p. The following figures illustrate what we did for a range of values.

This figure shows how the standard error (SE) of p̂ changes with respect to p̂ and the sample size.

This figure shows how the width of the confidence interval changes with respect to p̂, the sample size, and α. The panel headings show the "confidence", i.e. (1-α).