Let's analyze the given information carefully to determine whether the samples are biased:
Sample 1:
- Basketball: 23
- Football: 2
- Volleyball: 0
Sample 2:
- Basketball: 1
- Football: 24
- Volleyball: 0
Sample 3:
- Basketball: 1
- Football: 2
- Volleyball: 22
When examining the results from these samples, the total number of students surveyed in each sample can be computed as follows:
- Sample 1: 23 (Basketball) + 2 (Football) + 0 (Volleyball) = 25 students
- Sample 2: 1 (Basketball) + 24 (Football) + 0 (Volleyball) = 25 students
- Sample 3: 1 (Basketball) + 2 (Football) + 22 (Volleyball) = 25 students
Thus, each sample contains 25 students.
However, to determine if these samples are biased, we should consider the method of sampling. The samples were collected by going to specific sports games:
- Sample 1 was taken at a basketball game.
- Sample 2 was taken at a football game.
- Sample 3 was taken at a volleyball match.
Given this method, it's likely that the students surveyed would have a preference for the sport they were watching. Thus:
- At the basketball game, most respondents preferred basketball.
- At the football game, most respondents preferred football.
- At the volleyball match, most respondents preferred volleyball.
Conclusion:
These samples are biased because the newspaper staff went to a basketball game, a football game, and a volleyball match to interview the students. As a result, the samples do not represent the overall student body’s preferences fairly; instead, they reflect a strong bias towards the sport corresponding to each game attended. Therefore, the correct analysis is:
These samples are biased because the newspaper staff went to a basketball game, football game, and volleyball match to interview the students.
