The total area of 333 blades of a fan is \dfrac{5}{2}\pi\,\text{m}^2 2 5 πm 2 start fraction, 5, divided by, 2, end fraction, pi, start text, m, end text, squared. Two of the blades form an angle of 30\degree30°30, degree and the third blade forms an angle of 40\degree40°40, degree at the center.

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.