In a study done in England, Voss and Mulligan (2000) collected data on height (short or not) and whether or not the student had ever been bullied in school for 209 secondary school students.
A student was categorized as short if he or she was below the third percentile for height on school entry, but the researchers intentionally sampled in a way that made short students constitute almost half of the sample.
The following table displays a contingency table of the data.
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Height and Bullying In school
|
|
|
Ever Bullied?
|
|
Height
|
Yes
|
No
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Total
|
|
Short
|
42
|
50
|
92
|
|
Not Short
|
30
|
87
|
117
|
|
Total
|
72
|
137
|
209
|
a. Among students in the "short" category, what percentage have ever been bullied?
b. Among students in the "not short" category, what percentage have ever been bullied?
c. Is there a relationship between height and the likelihood of having been bullied? Briefly justify your answer.