Normal Approximation Instructions: Using the information given, determine whether a normal approximation is appropriate, and then answer the questions.
16%
of all people in a certain geographic region are unemployed. A sample of 460 people are surveyed. Let
hat(p)
represent the sample proportion of unemployed people in a certain geographic region. Is a normal approximation appropriate? Why or Why not?
?
What is the mean of the sampling proportion?
What is the standard deviation of the sampling proportion?
?
(round to thousandths) Find the probability that
hat(p)
is fewer than .15 .
P(hat(p)<.15)=
?