Question

a school district wants to conduct a sample survey to determine the average number of sports played by high school seniors in the district. which of the following survey methods is most likely to produce valid results? choose 1 answer: a the district surveys 500 randomly selected high school seniors in the district who play baseball. b the district surveys every tenth student to enter the football stadium at the district championship game. c the district surveys 500 randomly selected high school seniors in the district. d the district selects one high school in the district and surveys all of its students.

Explanation:

To get valid results for the average number of sports played by all high school seniors in the district, the sample should be representative of the entire population (all high school seniors).

• Option A: Surveys only baseball - playing seniors, which is a biased sample (only those in baseball, not all sports or non - sports - playing seniors).
• Option B: Surveys students at a football championship game, which is biased towards students interested in football (not representative of all seniors).
• Option C: Randomly selects 500 high school seniors in the district. This is a random sample of the target population (all high school seniors), so it is likely to be representative.
• Option D: Surveys all students of one high school. This is a biased sample as it only represents one school, not all schools in the district.

Answer:

C. The district surveys 500 randomly selected high school seniors in the district.