Chapter 11

2. [6 pts] Black bears (Ursus americanus), and their use of National Parks can be a problem for humans. Bear travels are governed by the need for food, as well as a high degree of natural curiosity. Some humans inadvertently or purposefully feed the bears, leading them to harass the human population. When bears become troublesome, one strategy is to transplant them - that is, take them far from home and hope they don't find their way back. In a study of the success of Mila this transplantation strategy, researchers kept track of the troublesome bears' fate over the course of a 10-year period of transplantations. One question of interest was whether the strategy worked equally well for male and female bears. The relevant data are presented in the table below. Group Male Female Total Successful 32 (40%) 17 (25.89%) 49 (33.6%) Transpant Outcome Returned to Capture Area 34 (42.5%%) 45 (68.2%%) 79 (54.1%) Nuisance in Another Area 14 (17.5%) 4 (6.1%) 18 (12.3) Total 80 (100%) 66 (100%) 146 (100%) (a) Test the hypothesis that the transplant outcome and the gender of the population of troublesome bears are independent. For purposes of this question, you may assume that the captured bears are a random sample of the troublesome bear population. (b) [2 pts] Which cell contributes the most to the chi-square statistic? Describe how the observed and expected counts differ for that category