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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)=`

`?`