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.
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.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 51E
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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.
Give the degrees of freedom that would be used in a test of 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).
Degrees of freedom =
The test is carried out at significance level α = 0.05 using the method described in the lecture notes.
The decision is to reject the null hypothesis. What is the appropriate conclusion for the test? Select the appropriate conclusion from the list below.
There is sufficient evidence at α = 0.05 that the variables for the ocean depth category and the species are independent
There is insufficient evidence at α = 0.05 that the variables for the ocean depth category and the species are not independent
There is sufficient evidence at α = 0.05 that the variables for the ocean depth category and the species are not independent
There is insufficient evidence at α = 0.05 that the variables for the ocean depth category and the species are independent
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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