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${\chi}^{2}$: High School Numbers

APSTAT-YV50XG

Freshmen, sophomores, juniors, and seniors at a high school were asked to pick a number from $0$ to $9$. A chi-square test was conducted to determine whether the proportion of numbers picked were the same across grade levels.

How many degrees of freedom should the ${\chi}^{2}$ test have?

A

$3$

B

$10$

C

$27$

D

$36$

E

$40$