Question

) Some boxes of a certain brand of breakfast cereal include a voucher for a free digital movie inside of the box. The company that makes the cereal claims that a voucher can be found in 20% 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 0.2. This group of students purchased 65 boxes of the cereal to investigate the company’s claim.

(a) Write the appropriate statement and hypotheses for a one-sample z-test at a 0.05 significance level.

(b) Check the conditions for inference.

(c) The students found a total of 11 vouchers for a free digital movie in the 65 boxes. Based on this sample, is there support for the students claim? Provide statistical evidence to support your answer.

Answer 1