voter support by age group in election poll

age : for : against : no opinion
21-30: 40 22 18
31-40: 30 50 25
over 40: 25 35 8

a poll was taken to explore the relationship between age and support for a candidate in an election. the results of the poll are summarized in the table. how many people above age 30 are for the candidate?

1 answer

To determine how many people above age 30 are for the candidate, we need to look at the age groups over 30, which include the 31-40 age group and the over 40 age group.

From the table:

  • For the 31-40 age group, 30% are for the candidate.
  • For the over 40 age group, 25% are for the candidate.

Now, we need to calculate the number of people in these age groups who support the candidate.

Assuming the total number of respondents in the 31-40 age group is represented as \( N_{31-40} \) and in the over 40 age group as \( N_{over 40} \), the number of supporters in each group can be calculated as follows:

  • For the 31-40 age group: \( 0.30 \times N_{31-40} \)
  • For the over 40 age group: \( 0.25 \times N_{over 40} \)

However, the specific numbers of respondents in each age category are not provided. If you have the total number of respondents for each group, please provide that information to get the actual number of supporters above age 30 for the candidate.

Do you have the total number of respondents for each age group?