From the following table illustrating the handedness of a random sample of men and women,
find (a) the percent of men who are left-handed, (b) the percent of women who
are left-handed, (c) the proportion of men who are left-handed and (d) the proportion of
women who are left-handed. (e) What can you conclude about gender and the prevalence
of left-handedness?
Handedness Male Female
Left-handed 15 8
Right-handed 86 114
Total 101 122
What would be an ideal response?
a. The percent of men who are left-handed is determined by dividing the number of
left-handed men by the total number of men and multiplying the result by 100 in
order to transform it into a percentage:
15 / 101 0.149
0.149 * 100 14.9%
= =
b. The percent of women who are left-handed is determined by dividing the number
of left-handed women by the total number of women and multiplying the result by
100 in order to transform it into a percentage:
8 / 122 0.066
0.066 *100 6.6%
= =
c. The proportion of men who are left-handed is determined by dividing the number
of left-handed men by the total number of men:
15 / 101 0.149
P 0.15
= =
d. The proportion of women who are left-handed is determined by dividing the
number of left-handed women by the total number of women:
8 / 122 0.066
P 0.07
= =
e. Left-handedness is more prevalent among men.
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