To examine how the O'Brien$-$Fleming $($OF$)$ controls the type I error rate, the campaign organizers decided to:

perform the A$/$A testing experiment $100$ times

count how many times they would wrongly reject $0$

with their strategy, and

compare it with the expected number of rejections given the significance level $=0\mathrm{.}05$

Use the code below to run $100$ experiments and then estimate the type I error rate for the OF method.

Your answer will be a tibble with three columns: n$\_$rejections$\_$OF$,$ n$\_$rejections$\_$unadj, and expected$\_$n$\_$rejections.

These columns should contain: the number of wrong rejections among the $100$ experiments for the OF and the classical methods $($unadjusted$),$ respectively, compared to the expected number of wrong rejections given the design.

Fill out those parts indicated with $...,$ uncomment the corresponding code in the cell below, and run it$.$