Part II - Short Answer Questions. Provide your answers in the space provided. 1. The college is planning to add a food vender in the student union and would like to know what type of food service the students would prefer. A sample of 120 students is obtained and each student is asked to select his/her preference from a coffee shop, a pizza place, or a hamburger grill. The resulting observed frequency data are as follows: Coffee Pizza Hamburger 53 37 30 a. What specific statistical analysis would you use to determine whether the data indicate any significant preferences among the three types of food service? (1 pt) b. Provide the expected frequencies for each food option. (Ho) Coffee Pizza Hamburger c. Without doing the analysis, what does the sample data suggest? (1 pt) 2. In a retrospective study of motorcycle riders' helmet color and frequency of injury, researchers surveyed 1553 riders, 429 of whom had sustained an injury at some point in the prior 5 years. Of these, 1193 wore either a black or white helmet. Consider the not injured contingency table (observed frequencies) to the right to answer injured the following questions. Color of Helmet Black White 491 377 213 112 a. What statistical analysis would you use to determine whether the color of the helmet worn by the motorcyclist was independent of injury? (1 pt.) b. What is the df for this analysis? (1 pt.) c. What is the critical value? (a = .05)? (1 pt.) d. Considering the observed frequencies, do you think that color of helmet is independent of injury?, In other words, did riders wearing black helmets sustain the same number of injuries as those wearing white helmets or significantly more or fewer injuries than riders wearing white helmets? How did you decide? (2 pts.)