Answer:
Mean: 0.400
Standard error: 0.022
Step-by-step explanation:
We are taking samples of size n=500 out of a population with parameter p=0.40.
The expected distribution is the sampling distribution of sampled proportions. This distribution has parameters that are calculated as:
Mean: the mean of the sampling distribution is equal to the population proportion, as it is not biased.
In this case, the mean of this sampling distribution is p=0.40.
Standard error: the standard error depends on the population proportion and the sample size. It is calculated as:
being p: population proportion, N: sample size.
