Sampling Distribution of a Proportion (2 of 4)
The plot shown here is the sampling
distribution for the present example. As you can see, the distribution
is not far from the normal distribution,
it does have some negative skew.
Assume that for the population of people applying for a job at a bank
in a major city, .40 are able to pass a basic literacy test required to
get the job. Out of a group of 20 applicants, what is the probability
that 50% or more of them will pass? This problem involves the sampling
distribution of p with π = .40 and N = 20.
The mean of the sampling distribution is π
= .40. The standard deviation is: