The milk yield from two breeds of goats, A and B, is categorised as low, medium or high. One hundred goats in a random sample are classified according to breed and milk yield. The results are summarised in the table below. i. Explain the difference between a test of independence and a test of homogeneity ii. Perform a chi squared test, at the 95% of significance level, to determine whether there is an association between the breed of goats and the milk yield.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.2: Exponents And Radicals
Problem 46E
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The milk yield from two breeds of goats, A and B, is categorised as low, medium or high. One hundred goats in a random sample are classified according to breed and milk yield. The results are summarised in the table below.

i. Explain the difference between a test of independence and a test of homogeneity

ii. Perform a chi squared test, at the 95% of significance level, to determine whether there is an association between the breed of goats and the milk yield.

Breed
A
B
Milk yield
Low
32
10
Medium
20
18
High
16
4
Transcribed Image Text:Breed A B Milk yield Low 32 10 Medium 20 18 High 16 4
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