To determine which statement makes the least sense based on the given data, let's analyze each statement carefully.
1. Statement 1: "Parn's survey is more likely to be representative of the population than Jamal's because she surveyed more people and did so randomly."
- Pam surveyed 100 people randomly, which increases the likelihood that her sample is representative of the entire school population.
- Jamal surveyed only 25 of his friends, which is a much smaller and biased sample.
- This statement makes sense because larger, random samples tend to be more representative of the population.
2. Statement 2: "If Jamal likes football and he surveyed his friends, it is likely that his sample is biased."
- If Jamal enjoys football, he might have friends who share the same interest, leading to a biased sample.
- This statement makes sense because personal biases can influence the results when the sample consists only of friends.
3. Statement 3: "Probably about 58% of the students in the school like football because Pam's survey was random and most likely was representative of the population."
- Pam's survey was random and included a larger sample size (100 people), making it more representative of the school's population.
- Based on this, it is reasonable to estimate that about 58% of the students like football.
- This statement makes sense because Pam's methodology supports the reliability of this estimate.
4. Statement 4: "Probably about 88% of the students in the school like football because Jamal surveyed only his friends."
- Jamal's survey result shows that 88% of his friends like football.
- However, since Jamal's sample consists only of his friends and is not random, it is highly likely to be biased.
- Extrapolating this percentage to the entire school population is not reasonable.
- This statement makes the least sense because it incorrectly assumes that the result from a biased and small sample is representative of the entire school's population.
Based on the analysis above, the statement that makes the least sense is:
```
Statement 4: "Probably about 88% of the students in the school like football because Jamal surveyed only his friends."
```
This conclusion aligns with the numerical result provided: 3 (index of the least sensible statement, considering statements are typically zero-indexed).
