Question

example 3: pet ownership and field of study
in a 2019 survey of undergraduate students, researchers asked about pet ownership by major field of
study. results are shown below.
(source: american college health association, national college health assessment, 2019)

• biology majors: 44 of 150 own a pet
• engineering majors: 28 of 140 own a pet
• psychology majors: 36 of 125 own a pet
• business majors: 30 of 135 own a pet

a) make a two - way table of this relationship.
b) what proportion of all the students in the sample do not own a pet?

Explanation:

Step1: Calculate the number of students who do not own a pet for each major

• Biology majors: \(150 - 44=106\)
• Engineering majors: \(140 - 28 = 112\)
• Psychology majors: \(125 - 36=89\)
• Business majors: \(135 - 30 = 105\)

Step2: Calculate the total number of students

• Total number of students \(=150+140 + 125+135=550\)

Step3: Calculate the total number of students who do not own a pet

• Total number of non - pet owners \(=106+112+89+105 = 412\)

Step4: Calculate the proportion

• Proportion \(=\frac{412}{550}=\frac{206}{275}\approx0.75\)

Answer:

The proportion of all the students in the sample who do not own a pet is \(\frac{206}{275}\approx0.75\)