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In: Statistics and Probability

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Please make sure to display your thought process? It is imperative to be able to follow how the answer was deduced. Please be as thorough as possible. Please address all parts of this question.

A team of medical researchers wants to estimate the malaria infection rate in a difficult-to-access jungle region of [No Name Country]. There are 80 villages in the studied part of the jungle, which can be assumed to be rather similar to each other. Each village has at least 300 inhabitants. We want to test 200 individuals for malaria. Propose a cost-efficient sampling method using one or multiple (the one that applies the most" "PROBABILITY THEORY BASED MODELS" of discrete or continuous probability distributions?

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Expert Solution

SOLUTION:-

For this situation, a cost-productive examining strategy is "One - arrange Cluster Sampling".

  • Support: Cluster Sampling is an inspecting technique utilized when gathering is done in a commonly homogeneous however inside heterogeneous setup.
  • The all out populace is partitioned into gatherings called groups and a basic arbitrary example from the bunches is chosen and each individual from the group is tested.
  • The prime inspiration for group examining is to diminish the all out cost given a specific precision.
  • In the given issue, there are 80 towns having 300 occupants every, at that point, the all out number of occupants can be considered as the absolute populace.
  • Bunches can be framed as for every town.
  • Assume we structure groups from "N" towns (N<80) containing 200 occupants each and every one of these 200 occupants are checked whether they are having intestinal sickness or not.
  • Since the 80 towns can be fairly like one another, as expressed in the inquiry, additionally, occupants vary among one another regarding the nearness of intestinal sickness or not, this compares to a setup of bunch inspecting where there is homogeneity between the gatherings while heterogeneity is available inside the individuals from the gathering.

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