Question: Show that the formulas for stratified random sampling in (3.1), (3.3), and (3.5) follow from the formulas for the HorvitzThompson estimator in Section 6.4.3. For

Show that the formulas for stratified random sampling in (3.1), (3.3), and (3.5) follow from the formulas for the Horvitz–Thompson estimator in Section 6.4.3. For a stratified random sample, we sample from every stratum in the population. Thus, if we treat strata as if they were psus, πi = 1 for every stratum in the population. Explain in detail.

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