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Chi-Square Goodness of Fit: Vote for Pedro

APSTAT-24WGOP

A politician projects that the population of voters who support him will be evenly divided between younger voters, middle-aged voters, and older voters. The table below shows the distribution of a random sample of 120 of the politician's supporters.

Younger Voters Middle-aged Voters Older Voters
27 34 59



What is the value of the ${ \chi }^{ 2 }$ statistic for for the goodness of fit test on these data?

A

Less than $1$.

B

At least $1$, but less than $10$.

C

At least $10$, but less than $20$.

D

At least $20$, but less than $30$.

E

At least $30$.