To find the relative frequency of respondents who are in favor of the bill, we will follow these steps:
1. Identify the number of respondents in favor of the bill:
- Democrat respondents in favor: [tex]\(35\)[/tex]
- Republican respondents in favor: [tex]\(32\)[/tex]
- Independent respondents in favor: [tex]\(41\)[/tex]
Therefore, the total number of respondents in favor of the bill is:
[tex]\[
35 + 32 + 41 = 108
\][/tex]
2. Determine the total number of survey respondents:
The total number of respondents surveyed is [tex]\(325\)[/tex].
3. Calculate the relative frequency:
The relative frequency is the ratio of the number of respondents in favor of the bill to the total number of respondents. This can be calculated as:
[tex]\[
\text{Relative frequency} = \frac{\text{Number of respondents in favor}}{\text{Total number of respondents}} = \frac{108}{325} \approx 0.3323076923076923
\][/tex]
4. Round the relative frequency to two decimal places:
The relative frequency rounded to two decimal places is:
[tex]\[
\text{Relative frequency (rounded)} \approx 0.33
\][/tex]
So, the relative frequency of respondents who are in favor of the bill, rounded to two decimal places, is:
[tex]\[
\boxed{0.33}
\][/tex]
