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The Use of Video Replay in Professional Sports: Type of Test

APSTAT-6A9IWH

The use of video replay in professional sports has been expanding, and many major sports now offer teams the ability to challenge certain calls that are made during the game. Michael is an avid fan and wonders if the proportion of games in which a challenge is lodged is the same in professional baseball, hockey, and football. Here is his data:

Challenge Lodged No Challenge Lodged
Baseball 13 21
Hockey 8 14
Football 10 7



Assuming all conditions for inference are met, what is the appropriate type of test for Michael to conduct?

A

A $1$-sample $t$-test for a population mean.

B

A $2$-sample $z$-test for a difference in proportions.

C

A $3$-sample $z$-test for a difference in population proportions.

D

A ${ \chi }^{ 2 }$ test for homogeneity.

E

A ${ \chi }^{ 2 }$ for association.