For the following three questions, you will be testing for correlation between people's opinions of bilingual education (X) and their opinions about whether foreign born citizens should be allowed to run for president (Y) using the following data. The scale for both variables is 1 to 9, representing strong opposition to strong favor respectively. The null hypothesis is that X and Y are not correlated. X Y >526931SL 1 x25862203 1526931SL Y y-mean of y (x-mean of x)(y-mean of y) 5-4-1 (-2.375) (1)=-2.375 2-4=-2 6-4-2 9-45 (.625)(-2)= -1.25 (3.625)(2)=7.25 (1.625)(5)=8.125 3-4-1 (-3.375) (-1)= 3.375 1-4=-3 (-2.375) (-3)=7.125 5-4-1 1-4-3 (3.625)(1) 3.625 (-1.375) (-3)=4.125 Sum= 30 Calculate r. x-mean of x 8 3 X250 60 2 8 m 1 2-4.375 -2.375 5-4.375=.625 8-4.375 3.625 6-4.375=1.625 1-4.375 -3.375 2-4.375 -2.375 8-4.375 3.625 3-4.375=-1.375 (x-mean of x) (y-mean of y)2 (-2.375) (1)=1 2=5.641 (.625) .391 (-2)=4 (3.625) 13.1 (2)=4 41 (1.625) 2.64 (5)=25 1 (- (-1)=1 3.375)=11.39 1 (- (-3)=9 2.375)=5.641 (3.625)=13.1 (1)=1 41 (- (-3)=9 1.375)=1.891 Sum= 53.878 Sum= 54 R (30)/[sqrt(53.878)(54)]= .556= .56