Chapter PI, Problem 35RE

(a)

To determine

To find out what is the marginal distribution of party affiliation.

Answer to Problem 35RE

  $\begin{array}{l}\text{Republican}=30.4\%\\ \text{Democrat}=31.6\%\\ \text{Others}=38\%\end{array}$

Explanation of Solution

It is given in the question that the Research Centre conducts regularly asking respondents which political party they identify with. Thus, the results were summarized in the table which display the age and the parties. Thus, from the table give we will calculate the marginal distribution of party affiliation as:

  $\begin{array}{l}\text{Republican}=\frac{16535}{54384}\\ =0.3040\\ =30.4\%\\ \text{Democrat}=\frac{17183}{54384}\\ =0.316\\ =31.6\%\\ \text{Others}=\frac{20666}{54384}\\ =0.38\\ =38\%\end{array}$

(b)

To determine

To create segmented bar graph displaying the conditional distribution of party affiliation of each age group.

Explanation of Solution

It is given in the question that the Research Centre conducts regularly asking respondents which political party they identify with. Thus, the results were summarized in the table which display the age and the parties. Thus, a segmented bar graph displaying the conditional distribution of party affiliation of each age group is as follows:

(c)

To determine

To summarize these poll result in a few sentences that might appear in a newspaper article about party affiliation in the U.S.

Explanation of Solution

It is given in the question that the Research Centre conducts regularly asking respondents which political party they identify with. Thus, the results were summarized in the table which display the age and the parties. Thus, we can say about these poll result that might appear in a newspaper article about party affiliation in the U.S that among voters over $30$ , political affiliation appears to be largely unrelated to age. However, there is some evidence that younger voters are less likely to be republican.

(d)

To determine

To explain do you think party affiliation is independent of the voter’s age.

Answer to Problem 35RE

Yes, they are independent.

Explanation of Solution

It is given in the question that the Research Centre conducts regularly asking respondents which political party they identify with. Thus, the results were summarized in the table which display the age and the parties. Thus, yes, we think that the party affiliation is independent of the voter’s age because voters who identified themselves as “Other” seem to be generally younger than Democrats or Republicans.