To determine the correct interpretation using marginal relative frequency, let's first calculate some relevant percentages using the totals from the table.
Total Visitors:
- Total: 99
- Weekday total: 37
- Weekend total: 62
Marginal Relative Frequencies:
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Percentage of visitors who pick up on weekdays: \[ \frac{25}{99} \approx 0.2525 \text{ or } 25.25% \]
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Percentage of visitors who browse on weekdays: \[ \frac{12}{99} \approx 0.1212 \text{ or } 12.12% \]
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Percentage of visitors who pick up on weekends: \[ \frac{17}{99} \approx 0.1717 \text{ or } 17.17% \]
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Percentage of visitors who browse on weekends: \[ \frac{45}{99} \approx 0.4545 \text{ or } 45.45% \]
Analysis:
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On weekdays, 25 visitors picked up (25.25%), while only 12 browsed (12.12%). Therefore, the pick-up service is more utilized on weekdays compared to weekends.
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On weekends, the browsing activity is significantly higher with 45 visitors (45.45%) compared to only 17 who picked up (17.17%).
Based on the data and calculations, the most fitting interpretation from the given responses is:
A high percentage of people pick up on the weekend. (This is not accurate since more people choose to browse on weekends rather than picking up.)
Therefore, the better response would be: The pick-up service is not very popular at this library. Most visitors prefer to browse on weekends, indicating the pick-up service has limited appeal.
Hence, the correct choice according to the marginal relative frequency analysis is:
The pick-up service is not very popular at this library.