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A political party is holding an election to choose a new leader - AQA - A-Level Maths Mechanics - Question 15 - 2020 - Paper 3
Question 15
A political party is holding an election to choose a new leader. A statistician within the party decides to sample 70 party members to find their opinions of the le... show full transcript
Worked Solution & Example Answer:A political party is holding an election to choose a new leader - AQA - A-Level Maths Mechanics - Question 15 - 2020 - Paper 3
Step 1
Calculate how many of each age group should be included in his sample.
Answer
To collect the random sample of members under 30 years old, the statistician should follow these steps:
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Set up numbering: Assign each member under 30 a unique number from 1 to 4735 to create a complete list.
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Generate random numbers: Use a random number generator or a calculator that can generate random integers to select numbers between 1 and 4735.
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Selecting members: Randomly generate 25 different numbers within this range to ensure that you are selecting unique members. If a number is repeated, simply ignore it and generate a new random number until you have 25 unique members identified.
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Implementing the method: The random number generation can be achieved via software tools, programming languages, or statistical software that can ensure the fairness and randomness of the selection process.