Question

In: Statistics and Probability

Chi-square: Regional restaurants, pressed to reinvent themselves during the Covid pandemic, begin adopting curbside pick-up and...

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)?

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