Exercise 1: With the quarter coming to an end you are thinking about your Christmas vacation. To reach your destination you will need to take an international ight. The airline will assign you a random seat on the plane. The airline claims that the probability that you will be assigned to a middle seat is .40 while the probability you will be assigned to an aisle seat is .30. You however think that this is not the case. With the help of your friend that works for the airline1 you collect anonymous data over random bookings. Below are the results: Middle seat Aisle seat Window seat 40 15 22 a) [2 points] Write down the proper null and alternative hypotheses. b) [3 points] Define the appropriate test statistic and calculate its value. c} [3 points] Find the p-value. (Use the table, not the calculator. Indicate the correct degrees of freedom. You can indicate a range instead of the precise value for the p-value if needed). d) [2 points] Write an appropriate conclusion. Use signicance level 0.05