A large city's DMV claimed that 80% of candidates pass its
new driving tests. Suspecting
that the DMV is inflating its
claims, a local newspaper
conducts a survey of 90
randomly selected local teens
who had taken the test and finds
that only 61 had passed. To test
the plausibility of the survey, the
newspaper runs a simulation of
500 samples of 90 teens from a
population in which 80% passed
the test. The mean and standard
deviation of the resulting
sampling distribution were 0.789
and 0.039, respectively.