Question
Think of the accompanying grid of 0s and 1s as a rough aerial map of a planted forest in which the 1s represent diseased trees.
Think of the accompanying grid of 0s and 1s as a rough aerial map of a planted forest in which the 1s represent diseased trees. You can see something of the pattern of the trees, but assume that you cannot count them accurately from the air. You need to conduct a ground survey to estimate the proportion of diseased trees. From the 150 trees in the forest, you are to sample 30 trees from which to construct your estimate. Design and carry out a sample survey and complete the analysis (estimate the proportion and calculate a margin of error) for each of the following designs:
a.
Simple random sample
b.
Systematic sample
c.
Stratified random sample with either rows or columns as strata, explaining your choice
d.
Cluster sample with either rows or columns as clusters, explaining your choice Compare your results with those of other students, and discuss which sampling design you think is best.
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