YouGov gifts us with seasonal chi-square examples with data on Thanksgiving food controversies.
For example: How do people feel about marshmallows on sweet potato dishes? This doesn't look randomly distributed to me.
Which is more beloved: Light or dark turkey meat?
If you want examples for the chi-square test of independence, dig into the PDF containing ALL of this survey's data. The distribution of people who like cranberry sauce by age group does not appear random.


