CPM Homework Help : CCA2 Problem 11-52

A survey of $80$ seniors at Algieres High School found that $65\%$ had been accepted to a four-year university. A computer simulation was conducted and the proportions sorted to determine the sample-to-sample variability:

Proportion of students accepted to a four-year university (sorted). Simulation mean $0.65$ .
$0.51$ $0.52$ $0.54$ $0.54$ $0.56$	$0.60$ $0.61$ $0.61$ $0.61$ $0.61$	$0.63$ $0.63$ $0.63$ $0.63$ $0.63$	$0.66$ $0.66$ $0.66$ $0.67$ $0.67$	$0.69$ $0.70$ $0.70$ $0.71$ $0.71$
$0.56$ $0.56$ $0.57$ $0.57$ $0.58$	$0.61$ $0.62$ $0.62$ $0.62$ $0.62$	$0.64$ $0.64$ $0.64$ $0.64$ $0.65$	$0.67$ $0.67$ $0.67$ $0.67$ $0.67$	$0.71$ $0.71$ $0.71$ $0.71$ $0.72$
$0.58$ $0.59$ $0.59$ $0.59$ $0.59$	$0.62$ $0.62$ $0.62$ $0.62$ $0.62$	$0.65$ $0.65$ $0.65$ $0.65$ $0.65$	$0.67$ $0.67$ $0.68$ $0.68$ $0.68$	$0.73$ $0.73$ $0.73$ $0.73$ $0.74$
$0.59$ $0.59$ $0.59$ $0.60$ $0.60$	$0.62$ $0.63$ $0.63$ $0.63$ $0.63$	$0.65$ $0.65$ $0.65$ $0.65$ $0.66$	$0.68$ $0.68$ $0.68$ $0.69$ $0.69$	$0.74$ $0.75$ $0.76$ $0.76$ $0.77$
checksum $64.64$

Use the technique of problem 11-27 to find the upper and lower $5\%$ bounds of the sample-to-sample variability.
Hint (a):
The simulation was run $100$ times.
Which results represent the $5$ th and $95$ th percentiles?
Predict the proportion of the seniors at Algieres High that have been accepted to four-year universities and give the margin of error.
Hint (b):
The mean (center) is $65\%$ .
Acceptance rates can be expected to be in the range of your answers to part (a).
Express this as $65\%\pm x\%$ .