Chapter 10.3, Problem 5E

To determine

To calculate:

The marginal relative frequencies.

Answer to Problem 5E

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

	Wash hands	Do not Wash hands	Total
Male	$132$	$39$	$171$
Female	$151$	$29$	$180$
Total	$283$	$68$	$351$

Explanation of Solution

Given information:

Analysis of a two-way table with the experiment values given for males $171$ and $180$ females.

Calculation:

The random experiment takes into account both males $171$ and $180$ females from the Grand Central Railway Station and analysed the number of people who were washing their hands and found that $132$ males and $151$ females were washing their hands after using public toilet, respectively.

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

	Wash hands	Do not Wash hands	Total
Male	$132$	$39$	$171$
Female	$151$	$29$	$180$
Total	$283$	$68$	$351$

Hence, the marginal number of malewash hands is quite a small, but on the other hand the number is just the opposite among the female.