Question

ick up Browse Total Weekday 25 12 37 Weekend 17 45 62 Total 42 57 99 Sal kept track of how many people visited the local library and recorded their purpose for visiting. Using marginal relative frequency, what interpretation can you make from the data in the two-way table? (1 point) Responses The pick-up service is not very popular at this library. The pick-up service is not very popular at this library. People only come to pick up reserved books during the week. People only come to pick up reserved books during the week. A high percentage of people pick up on the weekend. A high percentage of people pick up on the weekend. The weekend is the most popular time to visit.

Answer 1

To interpret the data in the two-way table using marginal relative frequency, you'll want to calculate the relative frequencies for each category (weekdays and weekends) as well as for each purpose (pick-up, which is implied to be a service offered).

Given the total visits:

• Weekday total: 25 + 12 + 37 = 74
• Weekend total: 17 + 45 + 62 = 124
• Overall total: 42 + 57 + 99 = 198

To calculate the marginal relative frequencies:

1. For Weekday Visits:

   • Pick-up: 25/198 ≈ 0.126 (12.6%)
   • Other purposes: 12 + 37 / 198 = 49/198 ≈ 0.247 (24.7%)

2. For Weekend Visits:

   • Pick-up: 17/198 ≈ 0.086 (8.6%)
   • Other purposes: 45 + 62 / 198 = 107/198 ≈ 0.541 (54.1%)

From the marginal relative frequencies, we can derive that a higher percentage of people visit the library for purposes other than pick-up, both on weekdays and weekends.

Among the options provided, based on the calculated percentages:

• The statement "The pick-up service is not very popular at this library." aligns best with the data, as we can see that pick-up visits constitute a minority of the total visits, particularly on weekends.

So, the interpretation supported by the data is: The pick-up service is not very popular at this library.