A competency test is modified so that the proportion of test$-$takers that pass is more than $75\%.$ A simple random sample of test$-$takers is collected to determine if the proportion of passers is greater than $75\%.$ The results of the sample are shown below.

$\backslash$table$[[$Competency test sample,$],[$passed$,82],[$Observations$,100],[$Confidence Level,$0\mathrm{.}95],[$Critical value,$1\mathrm{.}64],[$test statistic $($z$),1\mathrm{.}72],[$p$-$value,$0\mathrm{.}053]]$

$n=Ex$:$9$

Number passed $=$

Sample proportion hat$(p)=$