Some boxes of a certain brand of breakfast cereal

include a voucher for two free movie tickets

inside the box. The cereal company claims that a

voucher can be found in 25 percent of the boxes.

However, based on their experiences eating this

cereal at home, a group of students believes that

the proportion of boxes with vouchers is less than

0. 25. This group of students purchased 65 boxes

of the cereal to investigate the company's claim.

The students found a total of 11 vouchers for two

free movie tickets in the 65 boxes. Assume that

the 65 boxes purchased by the students are a

random sample of all boxes of this cereal.

Based on this sample, is there support for the

students' belief that the proportion of boxes with

vouchers is less than 0. 25? Answer by performing

all steps of a hypothesis test with a = 0. 5.