Question: a) Explain briefly the following Proportional allocation i) i) ii) b) A population of 100 farmers is divided into 3 strata according their total

a) Explain briefly the following Proportional allocation i) i) ii) b) A

a) Explain briefly the following Proportional allocation i) i) ii) b) A population of 100 farmers is divided into 3 strata according their total area under maize. The number of farms N, in each stratum and the standard deviation Share given below ii) Optimal allocation (Neyman) Stratum 1 2 3 N 20 30 50 Sh 3 5 10 Show that even with optimum allocation between strata, about 32 need to be sampled if the standard errors of the estimate of total area under maize for the whole population is not to exceed 98? Is optimal allocation much more efficient than proportional allocation to strata size?

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