Chapter 10.3, Problem 6E

To determine

To calculate:

The marginal relative frequencies.

Answer to Problem 6E

The completed two-way table is as follows along with the marginal frequencies:

	Uniforms reduce distractions	Uniformsdo not reduce distractions	Total
Techers	$49$	$11$	$60$
Parents	$18$	$30$	$48$
Total	$67$	$41$	$108$

Explanation of Solution

Given information:

Analysis of a two-way table with the experiment values given for teachers $60$ and $48$ parents.

Calculation:

The random experiment considers $60$ teachers and $48$ parents respectively from a locality to research whether uniforms reduce distractions or not, and to research the number of people who believe uniforms reduce distractions, finding that $49$ teachers and $18$ parentsrespectively.

The above data when depicted as a table of two ways is as seen in the following table:

	Uniforms reduce distractions	Uniformsdo not reduce distractions	Total
Techers	$49$	$11$	$60$
Parents	$18$	$30$	$48$
Total	$67$	$41$	$108$

Thus, the marginal number of teachers who agree that uniforms reduce disturbance is very large, but on the other hand the number between parents is just the opposite.