8.4 Think of the accompanying grid of 0s and Is as a rough aerial map of a planted forest in which the Is 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 for- est 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 h. 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. TREE GRID Row CI C2 C3 C4 C5 17 18 19 20 21 22 23 24 25 26 28 29 -- 30set. seed (0) # There are 30*5 = 150 cells. # Draw a simple random sample of size 30 from 150 cells. sam