Chapter 10.3, Problem 9E

To determine

To calculate:

The marginal relative frequencies.

Answer to Problem 9E

The corresponding frequency table for values of the joint and marginal relative frequencies can be shown as:

	Wash hands	Do not Wash hands	Total
Male	$0.376$	$0.111$	$0.487$
Female	$0.43$	$0.083$	$0.513$
Total	$0.806$	$0.194$	$1$

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	$283$	$68$	$351$

Now, the relative frequency table can be shown as:

	Wash hands	Do not Wash hands	Total
Male	$0.376$	$0.111$	$0.487$
Female	$0.43$	$0.083$	$0.513$
Total	$0.806$	$0.194$	$1$

Hence, the above relative frequency shows the males prefer washing hands less frequently than females.