Chapter 10.3, Problem 7E

To determine

To calculate:

The values of the values of the joint and marginal relative frequencies.

Answer to Problem 7E

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

	Left Handed	Right Handed	Total
Females	$0.048$	$0.45$	$0.498$
Males	$0.104$	$0.398$	$0.502$
Total	$0.152$	$0.848$	$1$

Explanation of Solution

Given information:

Analysis of a two-way table with the experiment values given for females $115$ and $116$ males.

Calculation:

The random experiment considers the study of $115$ females and $116$ males respectively. The dominant hand found among them, observing the number of people with the right hand as their dominant, and finding that $104$ females and $92$ males are right respectively right handed

The data given is used to get the relative frequencies and is interpreted in two-way table the relative frequency table shall be as shown as below:

	Left Handed	Right Handed	Total
Females	$11$	$104$	$115$
Males	$24$	$92$	$116$
Total	$35$	$196$	$231$

Now, the relative frequency table can be shown as:

	Left Handed	Right Handed	Total
Females	$0.048$	$0.45$	$0.498$
Males	$0.104$	$0.398$	$0.502$
Total	$0.152$	$0.848$	$1$

Thus, the above relative frequency shows the left handed males are less than that of the right handed males, and the same is for females.