Let (x; y ) be drawn uniformly from the boundary of the square with vertices at the four points (0; 1); (0; ); (1; 0); ; 0) on the coordinate plane. (note: (x; y ) is not drawn from the area inside of the square.) are x and y independent? what is corr(x, y )? (hint for correlation: use the tower law to calculate e(xy

According to a study conducted in 2015, 18% of shoppers said that they prefer to buy generic instead of name-brand products. suppose that in a recent sample of 1500 shoppers, 315 stated that they prefer to buy generic instead of name-brand products. at a 5% significance level, can you conclude that the proportion of all shoppers who currently prefer to buy generic instead of name-brand products is higher than .18? use both the p-value and the critical-value approaches.