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.

Answer 1

(a) Sample survey — simple plan
- Define the population: all students at his school.
- Make a list of all students (or use class rosters).
- Randomly pick students to survey:
- Simple method: assign each student a number and use a random-number generator (or draw numbers from a hat).
- Or do systematic sampling: pick a random start, then pick every k-th name on the list.
- For better representativeness, do stratified sampling: randomly pick proportional numbers from each grade.
- Give the chosen students a short, neutral questionnaire (paper or online) asking their favorite video game. Keep it anonymous and voluntary to reduce bias.
- Tally answers and report the most common choices.

(b) Observational study — simple plan
- Without asking or changing anything, watch and record what games students actually play in public places (lunch, club meetings, gaming lab) or use existing records (club sign-up sheets).
- Count how many students are playing each game and report the totals.
- Note: this shows what students are observed playing (not necessarily their overall favorite), and you cannot infer why they prefer a game.