We discuss how to test for an association between two categorical variables in Section 6.8. A marine research team records the number of fish from 3 species that they find at different depth categories in the ocean.   They are interested in assessing whether or not there is a relationship between the depth category (close to surface, mid-level, ocean floor) and the fish species found (species A, species B, species C). A two-way table showing the classification of a sample of 150 observations is given below.   If the variables for the ocean

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We discuss how to test for an association between two categorical variables in Section 6.8.

A marine research team records the number of fish from 3 species that they find at different depth categories in the ocean.   They are interested in assessing whether or not there is a relationship between the depth category (close to surface, mid-level, ocean floor) and the fish species found (species A, species B, species C).

A two-way table showing the classification of a sample of 150 observations is given below.

 

If the variables for the ocean depth category and the species are independent, how would you calculate the expected number of fish that are at the mid-level and from species C?

Expected number = 

Surface
Mid-level
Ocean floor
Total
Species A
20
13
28
61
Species B
12
31
8
51
Species C
18
6
14
38
Total
50
50
50
150
Transcribed Image Text:Surface Mid-level Ocean floor Total Species A 20 13 28 61 Species B 12 31 8 51 Species C 18 6 14 38 Total 50 50 50 150
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