One approach here is to get a confidence interval by inverting the hypothesis test. This would give you an interval from 0 to 0.00103. (And yeah, this approach has issues as noted on this blog earlier in https://statmodeling.stat.columbia.edu/2014/12/11/fallacy-placing-confidence-confidence-intervals/).

]]>The variance estimator used by Andrew is conservative in that it assumes the worst case (for variance) voting rate 0.5.

]]>Maybe some students didn’t know how to start because they didn’t understand what was being asked.

Did anyone propose a one-tailed test?

]]>I love these questions!

Would it be possible to publish the complete exam and solutions all in one place once you are finished with the blog posts? This would make it more accessible for future references.

Best,

Andrew