Subjects statistics

Survey Bias F4Ce86

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1. **State the problem:** We have two surveys about liking football: Jamal surveyed 25 friends with 88% saying yes, and Pam surveyed 100 random people with 58% saying yes. We need to determine which statement about these results makes the least sense. 2. **Analyze Jamal's survey:** Jamal's sample is small (25) and biased because he surveyed only his friends, who likely share his interest. This explains the high 88% yes rate. 3. **Analyze Pam's survey:** Pam's sample is larger (100) and random, making it more representative of the general population. The 58% yes rate is likely more accurate. 4. **Evaluate the statements:** - "Probably about 88% of the students like football because Jamal surveyed only his friends." This is unlikely because the sample is biased. - "Probably about 58% of the students like football because Pam's survey was random and representative." This is reasonable. - "If Jamal likes football and surveyed his friends, his sample is biased." This is true. - "Pam’s survey is more likely representative because she surveyed more people randomly." This is true. 5. **Conclusion:** The statement that "Probably about 88% of the students like football because Jamal surveyed only his friends" makes the least sense because the sample is biased and small. **Final answer:** The statement about 88% liking football based on Jamal's survey makes the least sense.