Question

You do an extensive survey and learn that 15 out of the 200 people surveyed like to eat out on Tuesdays. You then look only at the 60 families answering survey and find that 10 prefer to eat out on Tuesdays. Are families for or less likely to eat out on Tuesday than the general population?

Answer 1

Comparing the proportions of the general population and the families dataset reveals that 7.5% of the general population and 16.67% of families prefer to eat out on Tuesdays, thus families are more likely to eat out on that day.

Step-by-step explanation:

To determine whether families are more or less likely to eat out on Tuesdays compared to the general population, we can compare the proportions from each group. In the general survey of 200 people, 15 prefer to eat out on Tuesdays. This gives us a proportion of 15/200, which simplifies to 0.075, or 7.5%. Looking at the group of 60 families, 10 prefer to eat out on Tuesdays, which gives us a proportion of 10/60, simplifying to 0.1667, or approximately 16.67%.

The proportion of families that prefer to eat out on Tuesdays is 16.67%, which is higher than the proportion of the general population at 7.5%. Therefore, based on this data, families are more likely to eat out on Tuesdays than the general population.