A survey given to a random sample of 250 students at a small University asks which facility they use most often. The results are shown in the table above. If the results of the sample are projected to the entire student population 1,000 students, which of the following is the difference in the number of students who most often use the Union compared to the students who most often use the Music Hall?

Recreation Center Library Union Music Hall
60 80 70 40

Question

A survey given to a random sample of 250 students at a small University asks which facility they use most often. The results are shown in the table above. If the results of the sample are projected to the entire student population 1,000 students, which of the following is the difference in the number of students who most often use the Union compared to the students who most often use the Music Hall?

Recreation Center	Library	Union	Music Hall
	60	                   80	          70	             40

goldphenoix · Answer

Since this is taken from a small survery we need to make it accurate by multiplying the union and music hall by 4. 
(Since these two are porportionate.)
Union = 70 x 4 = 280
Music Hall 40 x 4= 160
the difference between those is 280-160 = 120 approximate (Because this is a sample expirement so its not totally accurate.)