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 2623 Kentucky adults is selected. Each person sampled is asked if they are currently unemployed.

What variable was recorded for each person sampled?

a. percentage of unemployed ky adults

b. unemployed status

c. 2623 ky adults

d. yearly salary

What conjecture has been made by the economist?

a. Less than 7.8% of ky adults are unemployed

b. More than 7.8 % of ky adults are unemployed

c. 7.8 % of ky adults are unemployed

1. Completely describethe sampling distribution for the sample proportion of unemployed KY adults when samples of size 2623 are selected (assuming there has been no change from 2012).Round any calculated value to four decimal places.
   • Mean:p^= ___________?
   • Standard deviation:pp^= ________? (round your answer to 4 decimal places)

-Shape: the sampling distribution of the sample proportion is Select an answer (not normally distributed. / normally distributed.)

Checks: np =________? and n (1 - p) =________? When the sample of 2623 KY adults is selected, it is found that 182 are unemployed. What is thesample proportionof KY adults who are unemployed? Round your answer to four decimal places.

p^= __________?

1. Using the distribution described in part c, what is theprobabilityof observing 182 or fewer unemployed KY adults in this sample?

z = ________? (round to 2 decimal places)

• probability = _________? (round to 4 decimal places)

1. Based on the data collected from the sample, what conclusion can be drawn?
   • Because the probability is Select an answer ? (small/ large) there Select an answer (is / is not) significant evidence to support the conjecture that less than 7.8% of all KY adults are unemployed.