Suppose that
42% of students of a high school play video games at least once a month. The computer programming club takes an SRS of
30
students from the population of
792
students at the school and finds that
40
%
of students sampled play video games at least once a month. The club plans to take more samples like this.
Let
p
^
p
^

p, with, hat, on top represent the proportion of a sample of
30
3030 students who play video games at least once a month.
What are the mean and standard deviation of the sampling distribution of
p
^
p
^

p, with, hat, on top?