(a) Students at a college are randomly surveyed as to their choice of beverage during lunch-time and the discipline area of their study. For the 205 students in the sample, choice of beverage and discipline area of individuals are as shown below, where each cell represents the number of students who prefer the beverage given at the top of the column and belong in the discipline area given at the left of the row. At the 0.01 level, is discipline of study independent of the choice of lunchtime beverage? Lunch Beverages Coffee Tea Cold drink Water Total Medicine 12 8 10 24 54 Discipline Engineering 15 10 19 12 56 Humanities 17 23 25 30 95 Total 44 41 54 66 205

(b) A researcher believes that number of cars arriving at a car wash has a Poisson distribution. She collected a random sample and constructed the following frequency distribution to test her hypothesis. Cars per 10-minute interval 0 1 2 3 4 >5 Observed Frequency 3 14 15 10 9 6 She calculated that the = 2.466 for this data and the estimated chi-squared value is 1.97. Using = 0.05, what is the appropriate decision for this goodness-of-fit test?