To find the relative frequency of adults in the sample who are registered to vote, follow these steps:
1. Determine the number of adults who are registered to vote.
From the given contingency table, you can see the number of registered adults categorized by their preferred source of current events information:
- Television: 30
- Newspapers: 24
- Radio: 27
- Internet sites: 38
To find the total number of registered adults, sum these values:
[tex]\[
30 + 24 + 27 + 38 = 119
\][/tex]
2. Determine the number of adults who are not registered to vote.
Similarly, from the given contingency table, you can see the number of not registered adults categorized by their preferred source of current events information:
- Television: 44
- Newspapers: 24
- Radio: 26
- Internet sites: 22
To find the total number of not registered adults, sum these values:
[tex]\[
44 + 24 + 26 + 22 = 116
\][/tex]
3. Calculate the total number of adults in the sample.
Add the total number of registered adults and the total number of not registered adults:
[tex]\[
119 + 116 = 235
\][/tex]
4. Calculate the relative frequency of adults who are registered to vote.
The relative frequency is the proportion of registered adults to the total number of adults in the sample:
[tex]\[
\text{Relative frequency} = \frac{\text{Number of registered adults}}{\text{Total number of adults in the sample}} = \frac{119}{235} \approx 0.506383
\][/tex]
5. Round the relative frequency to two decimal places.
The value 0.506383 rounded to two decimal places is:
[tex]\[
\boxed{0.51}
\][/tex]
Thus, the relative frequency of adults in the sample who are registered to vote is [tex]\( 0.51 \)[/tex].
