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Expected Counts: Favorite Cafeteria Meal

APSTAT-3DEWYL

As a class project, Statistics students have decided to investigate whether a student's choice of favorite cafeteria meal is associated with their class level. The Statistics students randomly survey students as they enter the cafeteria and ask them to select from among the following choices:

Pizza
Tacos
Sandwich
Salad

They also ask the surveyed students to identify their class level. Results are shown in the table below.

Pizza Tacos Sandwich Salad
Freshmen 23 18 7 5
Sophomores 19 25 10 12
Juniors 27 22 8 8
Seniors 24 16 14 7



The class plans to conduct a ${ \chi }^{ 2 }$ test for association.

Assuming there is no association between favorite food and class level, what is the expected number of sophomores who would say that tacos is their favorite cafeteria meal?

A

$16.5$

B

$20.25$

C

$21.82$

D

$22$

E

$25$