Sam is framing a closet under a stairway. The stairway is 12 ft 9 in.​ long, and its angle of elevation is 31 degrees. Find the depth of the closet to the nearest inch.

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.