Question

Jamal and Pam asked two groups of students whether they like football. Jamal surveyed 25 of his friends and Pam surveyed 100 people randomly. The tables below show the results. Based on the data, which statement makes the least sense? Jamal's sample Yes 88 percent and No 12 percent Pam's Sample Yes 58 percent No 42 percent

Answer 1

To analyze the results from Jamal's and Pam's surveys:

• Jamal's Sample: 25 friends

  • Yes: 88% (22 friends)
  • No: 12% (3 friends)

• Pam's Sample: 100 random people

  • Yes: 58% (58 people)
  • No: 42% (42 people)

Now let's evaluate some potential statements that could be made based on this data:

1. Jamal's friends are more likely to like football than the general population surveyed by Pam.
2. Jamal's survey is based on a much larger group than Pam's survey.
3. Pam's survey gives a more balanced view of football preference than Jamal's survey.
4. Jamal's friends might have a specific interest in football that could skew his results.

Among these statements, the one that makes the least sense is:

"Jamal's survey is based on a much larger group than Pam's survey."

This statement is inaccurate because Pam's survey of 100 people is actually larger than Jamal's sample of 25 friends. Thus, it does not logically follow from the data presented.