Let's analyze the situation step by step to determine whether the samples used in this survey are biased or not.
### Survey Context:
The school newspaper staff conducted a survey at three different types of sports events:
1. A basketball game
2. A football game
3. A volleyball match
### Survey Results:
The results obtained from each event are as follows:
- Sample 1 (Basketball Game):
- 23 students said their favorite sport was Basketball.
- 2 students said their favorite sport was Football.
- 0 students said their favorite sport was Volleyball.
- Sample 2 (Football Game):
- 1 student said their favorite sport was Basketball.
- 24 students said their favorite sport was Football.
- 0 students said their favorite sport was Volleyball.
- Sample 3 (Volleyball Match):
- 1 student said their favorite sport was Basketball.
- 2 students said their favorite sport was Football.
- 22 students said their favorite sport was Volleyball.
### Step-by-Step Analysis:
1. Sampling Locations:
- The students were interviewed at specific events where fans of those particular sports are more likely to be in attendance.
- For instance, at a basketball game, the majority of the attendees are likely to be fans of basketball.
2. Results by Event Type:
- In Sample 1, conducted at a basketball game, the majority of students preferred basketball.
- In Sample 2, conducted at a football game, most students preferred football.
- In Sample 3, conducted at a volleyball match, the majority of students preferred volleyball.
3. Possible Bias:
- Since each sample was gathered at a specific type of sports event, the results are heavily influenced by the type of event being attended.
- This introduces a selection bias, as the survey does not represent a random sampling of the student population, but rather a sampling which is likely to favor the sport associated with the event they are attending.
- This survey would not accurately reflect the overall preferences of all the students at the school, as it does not account for students who might have other favorite sports or those who did not attend the events.
### Conclusion:
The samples collected are biased. The newspaper staff interviewed students at specific sports events which inherently attracted fans of those specific sports. Therefore, the results do not accurately represent the general preferences of the entire student body.
The correct conclusion is:
These samples are biased because the newspaper staff went to a basketball game, football game, and volleyball match to interview the students.
