A study was performed to look at the preference of different species of birds for different types of sunflower seeds. Two bird feeders were set up with different types of sunflower seeds, one with a black oil seed and one with a striped seed. The bird feeders were observed for a 1-hour period for each of 12 days over a 1-month period. The number of birds of different species who ate seeds from a specific bird feeder was counted for each bird feeder for each of a number of species of birds. (The data for this problem were supplied by David Rosner.) On the first day of testing, 1 titmouse ate the black oil seeds and 4 titmice ate the striped seeds. Of the goldfinches, 19 ate the black oil seeds and 5 ate the striped seeds. Thetype of bird to the type of sunflower seeds eaten: (a) What test can be performed to assess whether the feeding preferences of titmice and goldfinches are comparable on the first day of testing? (b) Implement the test in Problem (a), and report a p-value.
A study was performed to look at the preference of different species of birds for different types of sunflower seeds. Two bird feeders were set up with different types of sunflower seeds, one with a black oil seed and one with a striped seed. The bird feeders were observed for a 1-hour period for each of 12 days over a 1-month period. The number of birds of different species who ate seeds from a specific bird feeder was counted for each bird feeder for each of a number of species of birds. (The data for this problem were supplied by David Rosner.)
On the first day of testing, 1 titmouse ate the black oil seeds and 4 titmice ate the striped seeds. Of the goldfinches, 19 ate the black oil seeds and 5 ate the striped seeds.
Thetype of bird to the type of sunflower seeds eaten:
(a) What test can be performed to assess whether the feeding preferences of titmice and goldfinches are comparable on the first day of testing?
(b) Implement the test in Problem (a), and report a p-value.
One assumption in the entire experiment is that the feeding preferences of the same species of bird remain the same over time. To test this assumption, the data for goldfinches were separated by the 6 different days on which they were observed (they were not observed at all for the other 6 days). For 2 of the 6 days small numbers of goldfinches were observed (2 on one day and 1 on another day). Thus, data from these two days were also not included. The results for the remaining 4 days are shown in the Table below.
Feeding preferences of goldfinches on different days
(c) What test can be used to assess whether the feeding preference of goldfinches are the same on different days?
(d) Implement the test in Problem (c), and report a p-value.
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