2. Approximately Answer Question 2[input] of Australian teenagers often continue to use social media after 1am.

Question

BlackTom AI · Accepted Answer

10% is the approximate proportion.

1) Relevant knowledge points and concepts
- Percentage means “parts per hundred.” Converting between percent, fraction, and decimal is fundamental: percent/100 = decimal.  
- "Approximately" indicates rounding to a nearby simple value (commonly to the nearest 5% or 10%).  
- If a survey gives a percentage, you can convert it to counts if you know sample size: count = percentage (as a decimal) × sample size.

2) Step-by-step reasoning
- The question requests an approximate percentage of Australian teenagers who often continue using social media after 1am. The authoritative answer provided is 10%, so we treat that as the reported approximate figure.  
- Interpret 10% as the proportion of the total teenage population (or sample) exhibiting the behaviour.

3) Calculations and intermediate steps
- Convert percent to decimal: 10% = 10/100 = 0.10.  
- Example conversions to counts: if the survey sampled 200 teenagers, expected count = 0.10 × 200 = 20 teenagers. If the sample was 500, expected count = 0.10 × 500 = 50 teenagers.  
- As a fraction, 10% = 1/10. As a ratio, 10% corresponds to 1 in 10 teenagers.

4) Why the correct answer is correct
- The answer “10%” correctly expresses the approximate proportion as a simple, rounded percentage consistent with the prompt’s use of “Approximately.” It is a concise representation (1 in 10) and converts cleanly to decimals and counts for interpretation.

5) Why other options would be incorrect
- Alternatives such as 5% or 15% would misstate the given approximate statistic by half or by 50% relative error (5% is half of 10%; 15% is 50% larger). Larger values (e.g., 25%) would substantially overestimate the behaviour. Since the authoritative figure is 10%, those alternatives do not match the reported approximation.

6) Conclusion
- Therefore, the approximate percentage of Australian teenagers who often continue to use social media after 1am is 10%, which matches the provided answer.

2. Approximately Answer Question 2[input] of Australian teenagers often continue to use social media after 1am.简答题

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