Quick
Answer:
Based on the information given, the
headline is believable. 

Complete
Solution:
One way to analyze this situation is to
consider two groups of teens in the study: those
who drank soda, and those
who did not.
From the table, there are 38 + 69, or 107
students who drank cola, and 5 + 52, or 57,
who did not.
Of the 107 students
who drank cola, 38 had fractures, or approximately
36%.
Of the 57 students
who did not drink cola, 5 had fractures, or
about 9%. The information
is summarized in the table.

Had
a
Fracture 
Did
not have
a Fracture 
Drank
cola 
38/(38+69)
= 36% 
69/(38+69)
= 64% 
Did
not drink cola 
5/57
= 9% 
52/57
= 91% 
Based on this information, students
who drink cola seem to be more likely to have fractures.
Just because an association exists, however, does
not mean that drinking cola causes fractures. Other factors
may be involved. 
