In December 2012 the unemployment rate for all US adults was 7.8%. An economist in the state of Kentucky would like to determine if the unemployment rate in Kentucky is less than the national value. A...

In December 2012 the unemployment rate for all US adults was 7.8%. An economist in the state of Kentucky would like to determine if the unemployment rate in Kentucky is less than the national value. A sample of 2499 Kentucky adults is selected. Each person sampled is asked if they are currently unemployed.

C. The sampling distribution for the sample proportion of unemployed KY adults when samples of size 2499 are selected (assuming there has been no change from 2012).

μ p-hat = 0.078

σ p-hat = 0.0054

Normally Distributed (np = 194.922 , n(1-p) = 2304.078)

Using the distribution described in part c, what is theprobability of observing 167 or fewer unemployed KY adults in this sample?

z = ?

probability = ?