Question

answer in the simplest way

(a)
Samuel is interested in finding out the favorite video game of other students ​at his school.

Part A:
Samuel decides he is going to conduct a sample survey to answer ​this question.
​Explain how he could design his survey and how he ​could randomly choose those who will take the survey.
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(b)

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​Part B:
Explain how an observational study could also be used to answer this ​question.​
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Answer 1

(a) Sample survey — simple plan
- Write one clear question (example: “What is your favorite video game?”) and give a list of choices plus “Other.”
- Decide how many students to ask (a larger number is better).
- Choose students at random, for example:
- Use a school roster and pick names with a random number generator, or
- Put every student’s name in a hat and draw, or
- Randomly pick whole classes (choose some class periods by random and ask every student in those classes).
- Ask each selected student the same question, record answers, and keep responses anonymous.
- Summarize the results (count how many picked each game) to find the most popular.

(b) Observational study — simple plan
- Without asking, watch what games students actually play (for example at lunch, in a gaming club, or at a school event).
- Choose times and places at random (e.g., random days or randomly chosen lunch periods) so your observations aren’t biased.
- Record what game each observed student is playing and count frequencies.
- Analyze which games are played most often to infer favorites.

(Short note: surveys ask people directly; observational studies watch behavior without asking.)