Chapter 3, Problem 26E

(a)

To determine

To construct: the graphical display comparing the conditional distributions of females and males.

Explanation of Solution

Given:

	L	M	C	Total
Female	35	36	6	77
Male	50	44	21	115
	85	80	27	192

Calculation:

For the female:

	L	M	C	Total
Female	35	36	6	77
	$\begin{array}{l}\frac{35}{77}\times 100\\ =45.4\%\end{array}$	$\begin{array}{l}\frac{36}{77}\times 100\\ =46.8\%\end{array}$	$\begin{array}{l}\frac{6}{77}\times 100\\ =7.8\%\end{array}$	$100\%$

For the Male

	L	M	C	Total
Male	50	44	21	115
	$\begin{array}{l}\frac{50}{115}\times 100\\ =43.5\%\end{array}$	$\begin{array}{l}\frac{44}{115}\times 100\\ =38.3\%\end{array}$	$\begin{array}{l}\frac{21}{115}\times 100\\ =18.3\%\end{array}$	$100\%$

Graph:

  

This is the required graphical display comparing the conditional distributions of females and males.

(b)

To determine

To Explain: the briefly on the display in part (a).

Explanation of Solution

Given:

	L	M	C	Total
Female	35	36	6	77
Male	50	44	21	115
	85	80	27	192

By seeing the both the distributions which are not exactly same but the male appears to be more conservative than female where female appears to be more moderate than male so the variables Sex and Politics are not independent.