In: Statistics and Probability
Chi-square:
Regional restaurants, pressed to reinvent themselves during the Covid pandemic, begin adopting curbside pick-up and custom “to-go” menus. Some of these pick-up deliveries include a personal note of thanks (see below), to affix to their take-out packaging.* A sociologist, interested in assessing whether there’s any relationship between the use of these personal messages and return business during the ensuing three months, draws a random sampling of restaurants from the region. The restaurants are selected to be from low-budget (under $20); moderate budget ($21—40); and high-end dining establishments (above $40) per meal.
The following data accrue from a sampling of some n = 100 restaurants in the region. The cell counts indicate the number of return trips made by the same customers beginning March 30th.
Personal note |
Low Budget |
Moderate budget |
High-end Budget |
absent |
10 |
15 |
20 |
Attached to take-out |
20 |
25 |
10 |
In a sentence, describe the categorical relationship (you may transform freq’s to percents to help you here).
Is there a strong scientific basis for imputing a causal connection between restaurants’ use of the personal notes and return business? Say in a sentence why or why not.
What fe for the cell (low budget/note attached)?
What fe for the cell (Fine dining/note absent)?