The population proportion of success is 8% and the intended
sample size is n=824. Before drawing a sample from the population,
you first want to estimate the 85-th percentile, that is the value
separating the lower 85% of the sample proportions from the upper
15% of the sample proportions.
For this problem, the normal approximation will be used. First, it
is necessary to calculate the “critical value”, which is the
z-score separating the lower 85% of the standard normal
distribution...