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 2254 Kentucky adults is selected. Each person sampled is asked if they are currently unemployed. When the sample of 2254 KY adults is selected, it is found that 144 are unemployed. What is the sample proportion of KY adults who are unemployed? Round your answer to four decimal places.

answer p hat?

Using the distribution described in part c, what is the probability of observing 144 or fewer unemployed KY adults in this sample?

Z=

probability=