There are 3700037000 people in a town who can vote in a local election. They are categorised by age as shown in the table below. Age Number of people Under 404014700147004040 or over 2230022300 A market research company intends to take a survey of the voting intentions of 18001800 residents just before the election. The number of people aged 4040 or over who should be in the sample is calculated asSelect one:a. 2230037000×18002230037000×1800. b. 223001800×37000223001800×37000. c. 2230014700×1002230014700×100. d. 1470037000×1800
Question
There are 3700037000 people in a town who can vote in a local election. They are categorised by age as shown in the table below. Age Number of people Under 404014700147004040 or over 2230022300 A market research company intends to take a survey of the voting intentions of 18001800 residents just before the election. The number of people aged 4040 or over who should be in the sample is calculated asSelect one:a. 2230037000×18002230037000×1800. b. 223001800×37000223001800×37000. c. 2230014700×1002230014700×100. d. 1470037000×1800
Solution
The correct answer is a. 22300/37000 * 1800.
This is because the number of people aged 40 or over who should be in the sample is calculated by taking the proportion of people aged 40 or over in the total population (22300/37000) and applying this proportion to the sample size (1800).
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