Some containers of a certain brand of energy drink include a coupon for free movie
tickets inside the container. The company that makes the energy drink claims that a coupon can be found in 20
percent of the containers
. However, based on their experiences with this energy drink at home, a group of
teenagers
believes that the proportion of containers with coupons is less than 0.2. This group of teenagers
purchased 65 containers of the energy drink to investigate the company's claim. The teenagers found a total of 11
coupons for free movie tickets in the 65 containers.
Suppose it is reasonable to assume that the 65 containers purchased by the teenagers are a random sample of all
containers of this energy drink. Based on this sample, is there support for the teenagers' belief that the proportion
of containers with coupons in less than 0.2? Provide statistical evidence to support your answer.