[2 pointsI In 2018, the city of Ithaca took a census where they asked residents which coffee shop was their favorite: 329E preferred WSW Bagels [CTR], 25% preferred m! Coffee, and 43% preferred Ithaca Coffee lCompany. In 2019, Cornell asked a simple random sample of 300 graduate students to answer the same question. Of the students surveyed, 93 preferred C'I'B, '34 Preferred W Coffee, and 113 preferred Ithaca Coffee Company. We want to answer the research question: Are the coffee shop preferences of Graduate Students different from the population of Ithacans? Which null hypothesis is appropriate for the above research 3% Herepz, p2, andps refer to the m him that a Graduate Student prefers (3TB, MT Cofee, or Ithaca Coee Company, respectively. (a} p1 = 0.32, p: = 0.25, {b} 1.231 = 0.31, p: = 0.31, {C} p: :4?! =P3 (:1) None of the above [2 points] We want to compare the median durations of hospital stays {measured in day's) of two potential treatments to a disease. 45 patients recein treatment A, and 3? patients received treatment B. 'What kjnd of nonparametric test would be appropriate for this? {a} sign test {b} signed rank test [c]: rank sum test (:1) Not enough information for a conclusive answer There are 7 multiple choice questions. Each of them is followed by an optional justification question - you don't need to type any justification if you're sure with your answer. If your answer is incorrect and the justification is correct then we'll give you partial credit. [2 points] You have developed a nutrient cocktail which you believe reduces leaf yellowing under bright light for the houseplant Exipremium eureum. You give this cocktail to a random sample of 30 E. aureym plants. and leave them with 30 control E. ayreym, in identical conditions in the greenhouse. After a week, you record the percentage of E. aureum plants in each group with yellowed leaves, and want to test whether your cocktail was effective. You need a test of: (a) Unpaired means (b) One sample proportion (c) Paired means (d) One sample mean (e) Two sample proportion [2 points] Which of the following is used to control type-I error in a hypothesis testing problem? (a) Significance level (b) Power (c) Effect size (d) None of the above (2 points] You want to compare average total rainfall in Ithaca during September-November to the average total rainfall during January-March by tracking the overall rainfall totals during the two periods over the course of 20 years. Which of the following scenarios is the most relevant? (a) one population mean (4) (b) mean difference of two unrelated (independent) populations (us - #2) (c) mean difference of two related (paired) populations (ud) (d) none of the above [2 points] We perform a one-sample test of proportion with HQ:p = 0.5 vs. HA : p > 0.5, which gave us a p-value of 0.028. If instead, we had used HA: p/0.5, then we would have found a p-value of: (a) 0.014 (b) 0.028 (c) 0.056 (d) Not enough information for a conclusive