Chapter PI, Problem 33RE

(a)

To determine

To find out what percent of people surveyed were republicans.

Answer to Problem 33RE

  $30.4\%$ .

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 we will calculate the percent of people surveyed were republicans as:

  $\begin{array}{l}=\frac{16535}{54384}\\ =0.3040\\ =30.4\%\end{array}$

(b)

To determine

To explain do you think this might be a reasonable estimate of the percentage of all voters who are republicans.

Answer to Problem 33RE

Yes, it is.

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, this might be a reasonable estimate of the percentage of all voters who are republicans if this were a random sample of all voters.

(c)

To determine

To find out what percent of people surveyed were under $30$ or over $65$ .

Answer to Problem 33RE

  $36.63\%$ .

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 we will calculate the percent of people surveyed were under $30$ or over $65$ as:

  $\begin{array}{l}=\frac{10139+9784}{54384}\\ =0.3663\\ =36.63\%\end{array}$

(d)

To determine

To find out what percent of people were classified as other and under the age of $30$ .

Answer to Problem 33RE

  $8.76\%$ .

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 we will calculate the percent of people were classified as other and under the age of $30$ as:

  $\begin{array}{l}=\frac{4765}{54384}\\ =0.0876\\ =8.76\%\end{array}$

(e)

To determine

To find out what percent of people classified as other were under $30$ .

Answer to Problem 33RE

  $23.1\%$ .

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 we will calculate the percent of people classified as other were under $30$ as:

  $\begin{array}{l}=\frac{4765}{20666}\\ =0.2306\\ =23.1\%\end{array}$

(f)

To determine

To find out what percent of people under $30$ were classified as other.

Answer to Problem 33RE

  $47\%$ .

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 we will calculate the percent of people under $30$ were classified as other as:

  $\begin{array}{l}=\frac{4765}{10139}\\ =0.46997\\ =47\%\end{array}$