Question

press the arrows ↗ to enlarge and examine the tables.
by total
by column
by row
select all that apply.
a
there is absolutely no way the hand someone writes with can be used to predict their preferred writing utensil.
b
among those who prefer pencil, the handedness is nearly evenly split, but there are many more right - handers than left - handers who prefer pen. therefore, there seems to be an association between utensil preference and handedness.
c
the left - handed people surveyed seem split evenly about pen or pencil preference, while right - handed people seem to overwhelmingly prefer pen.
d
there is no reasonable association between a person’s preferred writing utensil and their hand dominance.

Explanation:

Step1: Analyze Option A

The statement claims no prediction is possible, but looking at the "By Column" table, left - handed have 54% pen and 46% pencil, right - handed have 94% pen and 6% pencil. There is a difference, so A is wrong.

Step2: Analyze Option B

In the "By Column" table, left - handed: pen 54%, pencil 46% (nearly even). Right - handed: pen 94%, pencil 6% (many more right - handed, and more right - handers prefer pen). So there is an association, B is correct.

Step3: Analyze Option C

Left - handed: 54% pen, 46% pencil (not evenly split). Right - handed: 94% pen, 6% (overwhelmingly pen). So C is wrong.

Step4: Analyze Option D

From the tables, there is a difference in utensil preference between left and right - handed, so there is an association. D is wrong.

Answer:

B. Among those who prefer pencil, the handedness is nearly evenly split, but there are many more right - handers than left - handers who prefer pen. Therefore, there seems to be an association between utensil preference and handedness.