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Weight a Survey by the Represented Population - Practice 1

Equal sample sizes do not make regions equally populous.

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Equal sample sizes do not make regions equally populous. For a combined proportion, weight each regional proportion by the population it represents. These fictional two-region models assume each regional estimate is appropriate; real survey uncertainty still matters.

Worked example

If one region is one quarter of the population with 20% participation and the rest has 40%, the weighted rate is 35%.

If one region is one quarter of the population with 20% participation and the rest has 40%, the weighted rate is 35%.
If one region is one quarter of the population with 20% participation and the rest has 40%, the weighted rate is 35%.
Question 1 Fictional model 1: A holds one quarter of residents and has 20% participation; B holds three quarters and has 40%. What is the weighted combined percentage?
Question 2 Fictional model 2: A holds one quarter of residents and has 24% participation; B holds three quarters and has 44%. What is the weighted combined percentage?
Question 3 Fictional model 3: A holds one quarter of residents and has 28% participation; B holds three quarters and has 48%. What is the weighted combined percentage?
Question 4 Fictional model 4: A holds one quarter of residents and has 32% participation; B holds three quarters and has 52%. What is the weighted combined percentage?
Question 5 Fictional model 5: A holds one quarter of residents and has 36% participation; B holds three quarters and has 56%. What is the weighted combined percentage?