Question

as part of a project for math class, peter randomly interviewed 51 teenagers at a park to determine their favorite park activity. based on the results of his survey, he made the following claim: one out of four park - goers like to hike on the trails. explain why this is not a valid claim. a. only people on the trails were surveyed. b. not enough teenagers at the park were surveyed. c. peter only interviewed teenagers at the park, but made the claim about all park - goers. d. the teenagers were not randomly interviewed.

Explanation:

Peter's sample consists only of teenagers at a park, while his claim is about all park - goers. A valid claim requires a sample that is representative of the population it makes a statement about. Here, the sample is too narrow in terms of age group and location to generalize to all park - goers.

Answer:

C. Peter only interviewed teenagers at the park, but made the claim about all park - goers.