In order to estimate the relative abundance and geographic distribution of pheasants in Iowa, the Iowa Department of Natural Resources conducts annual road side surveys of pheasant populations. On the roads bordering five randomly selected farms in one county labeled generically as Farms A, B, C, D, and E, the survey counts were as follows: Farm # Pheasants Road miles A 3 1 B 8 1 C 9 2 D 5 1 E 11 3 One hypothesis about the geographic distribution of organisms, knowns as the spatial randomness hypothesis, asserts, as applied to the pheasant survey, that pheasants are randomly distributed throughout uniform habitat in such a way that the expected number of pheasants along any stretch of road is proportional to the length of that road. The lengths of road traveled along each farm are shown in the rightmost column of the table. Do the counts from the survey support or cast doubt on the spatial randomness hypothesis for pheasants on farmland in this country? Take a = 0.05.
In order to estimate the relative abundance and geographic distribution of pheasants in Iowa, the Iowa Department of Natural Resources conducts annual road side surveys of pheasant populations. On the roads bordering five randomly selected farms in one county labeled generically as Farms A, B, C, D, and E, the survey counts were as follows:
| Farm | # Pheasants | Road miles |
| A | 3 | 1 |
| B | 8 | 1 |
| C | 9 | 2 |
| D | 5 | 1 |
| E | 11 | 3 |
One hypothesis about the geographic distribution of organisms, knowns as the spatial randomness hypothesis, asserts, as applied to the pheasant survey, that pheasants are randomly distributed throughout uniform habitat in such a way that the expected number of pheasants along any stretch of road is proportional to the length of that road. The lengths of road traveled along each farm are shown in the rightmost column of the table. Do the counts from the survey support or cast doubt on the spatial randomness hypothesis for pheasants on farmland in this country? Take a = 0.05.
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