Q1) Random telephone survey asked 208 drivers if they run red lights. Of 48 drivers who were 35 years old or younger, 32 admitted that they run red lights. 86 of the 160 drivers that were older than 35 years old admitted to running red lights. At 0.01 level of significance, test claim that percent of drivers who are 35 years old or younger and who run red lights is higher than the percent of drivers who are older than 35 years old and who run red lights.

Q2) Math instructor has written new placement exam. He is concerned that exam may be too long. Instructor claims that the average length of time needed to finish exam for all students who take it is at most 50 minutes. Exam is given to 20 randomly chosen students and their average length of t time needed to finish exam was 54 minutes with standard deviation of 5.99 minutes. Test instructor's claim at the 0.05 level of significance.