Challenge Lodged No Challenge Lodged 21 Baseball 13 14 Hockey 7 Football 10
Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
![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 footbalI. Here is his data:
Challenge Lodged
No Challenge Lodged
Baseball
13
Hockey
8
14
Football
10
7
Assuming all conditions for inference are met, what is the appropriate type of test for Michael to conduct?
21](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faff89ca0-8a6d-4332-baf4-333eb8073856%2F8cecea6c-4a1d-4264-b091-ae2c6e0beaf1%2F1yebtf_processed.jpeg&w=3840&q=75)
![A
Al-sample t-test for a population mean.
A 2-sample z-test for a difference in proportions.
C
A 2-sample z-test for a difference in means.
D
Ax test for homogeneity.
E
Ax? for association.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faff89ca0-8a6d-4332-baf4-333eb8073856%2F8cecea6c-4a1d-4264-b091-ae2c6e0beaf1%2Fol26c9c_processed.jpeg&w=3840&q=75)
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