Approximately (B) 60 students would prefer the Fall Festival to be held in October.
What is a random sample?
- A simple random sample (or SRS) in statistics is a subset of individuals (a sample) chosen at random from a larger set (a population) with the same probability.
- It is the process of selecting a sample at random.
- In SRS, each subset of k people has the same chance of being chosen for the sample as any other subset of k people.
To find how many students in the entire 225-person class would be expected to prefer having the Fall Festival in October:
- Total Strength of the class = 225
- f the 90 students surveyed, 25.6% preferred October.
- So, it can be assumed that 25.6% of the entire 225-person class would prefer having the Fall Festival in October
- So, nos. of students = 225 × 25.6/100 = 1/4 of 224 = 56
- Roughly 60 students would prefer having the Fall Festival in October.
Therefore, approximately (B) 60 students would prefer the Fall Festival to be held in October.
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