Chapter 3, Problem 24E

(a)

To determine

To find: the conditional distribution of the political views for the females.

Explanation of Solution

Given:

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

Calculation:

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

This is the required conditional distribution of the political views for the females where most of the moderate and liberal.

(b)

To determine

To find: the conditional distributions of political views for the males.

Explanation of Solution

Given:

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

Calculation:

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

This is the required conditional distributions of political views for the males where the highest are the liberal.

(c)

To determine

To construct: a graphical display that compares the two distributions.

Explanation of Solution

Given:

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

Calculation:

  

This is the required graphical display that compares the two distributions.

(d)

To determine

To find: that the variable Politics and Sex represent to be independent.

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 graph, it is observed that in part (c) the both the distributions are most of similar. But male appears to be more conservative than female therefore the variables Sex and Politics are not independent.