In April 2010, 49% of the unemployed had been out of work longer than six months. Policy makers felt that this percentage declined during 2010 as the job market improved. To test this theory, a random sample of 200 unemployed people was selected, and it was found that 91 had been out of work for more than six months. Using a = 0.10, answer parts a through c below. a. What conclusions can be drawn about the proportion of the unemployed who have been out of work for more than six months?