If we know that a quadratic equation has a repeated root, which statement is true? the discriminant of the equation will be a negative number. the discriminant of the equation will be a positive number. the discriminant of the equation will be equal to zero. the discriminant of the equation will be a perfect square.

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.