Researchers studied the behavior of birds that were searching for seeds and insects in an Oregon forest. In this forest, 54% of the trees arc Douglas firs, 40% are ponderosa pines, and 6% are other types of trees. At a randomly selected time during the day, the researchers observed 156 red-breasted nut-hatches: 70 were seen in Douglas firs, 79 in ponderosa pincs, and 7 in other types of trees.
Relative to the proportion of each tree type in the forest, which type of trees do the nuthatches seem to prefer the most?
A. Compute expected counts and the components of the chi-square statistic to help answer this question.
B. Because the Douglas firs have a difference between observed and expected counts of -14.24, this is evidence that the nuthatches seemti to prefer Douglas firs the most.
C. Because the Douglas firs have the highest expected count (84.24), this is evidence that the nuthatches seem to prefer Douglas tirs the most
C. Because ponderosa pines contribute the most to the chi-square statistic (4.42) and have a positive difference between observed and expected counts (16.60), the nuthatches seem to prefer the ponderosa pines the most
D. Because the ponderosa pines had the highest number of nuthatches, this is evidence that the nuthatches prefer them the most relative to the proportion of each tree types.
E. Because "other" types contribute the cast to the chi-square statistics (0.60) and have a small difference between observed and expected counts (-2.36), this is evidence that the nuthatches seem to prefer "other" types the most.
