The results of a voting survey are shown in the two-way table.
Voter's Age
18-34 35-64 65+
Candidate A 36 25 6
B 12 32 24
For each age group, what percent of voters prefer Candidate A? Candidate B? Round your answers to the nearest tenth of a percent, if necessary.
Candidate A
18-34:
%
35-64:
%
65+:
%
Candidate B
18-34:
%
35-64:
%
65+:
%
To calculate the percentage of voters preferring Candidate A in each age group, we divide the number of voters preferring Candidate A in each age group by the total number of voters in that age group and then multiply by 100.
For the age group 18-34:
Candidates A: 36
Candidates B: 12
Total: 36 + 12 = 48
Percentage for Candidate A: (36/48) * 100 = 75%
Percentage for Candidate B: (12/48) * 100 = 25%
For the age group 35-64:
Candidates A: 25
Candidates B: 32
Total: 25 + 32 = 57
Percentage for Candidate A: (25/57) * 100 = 43.9% (rounded to the nearest tenth)
Percentage for Candidate B: (32/57) * 100 = 56.1% (rounded to the nearest tenth)
For the age group 65+:
Candidates A: 6
Candidates B: 24
Total: 6 + 24 = 30
Percentage for Candidate A: (6/30) * 100 = 20%
Percentage for Candidate B: (24/30) * 100 = 80%
Therefore, the percentages of voters preferring Candidate A and Candidate B in each age group are:
Candidate A:
18-34: 75%
35-64: 43.9%
65+: 20%
Candidate B:
18-34: 25%
35-64: 56.1%
65+: 80%