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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.

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?\newlineChoose 11 answer:\newline(A) The district surveys 500500 randomly selected high school seniors in the district who play baseball.\newline(B) The district surveys every tenth student to enter the football stadium at the district championship game.\newline(C) The district surveys 500500 randomly selected high school seniors in the district.\newline(D) The district selects one high school in the district and surveys all of its students.

Full solution

Q. 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?\newlineChoose 11 answer:\newline(A) The district surveys 500500 randomly selected high school seniors in the district who play baseball.\newline(B) The district surveys every tenth student to enter the football stadium at the district championship game.\newline(C) The district surveys 500500 randomly selected high school seniors in the district.\newline(D) The district selects one high school in the district and surveys all of its students.
  1. Identify unbiased sampling method: We need to find the method that gives a representative sample of all high school seniors, not just athletes or those interested in a specific sport.
  2. Option (A) bias: Option (A) is biased because it only includes students who play baseball.
  3. Option (B) bias: Option (B) is also biased because it only includes students attending a football game, who are likely to be interested in sports.
  4. Option (C) unbiased: Option (C) seems to be the most unbiased as it includes a random selection of high school seniors, regardless of their interest in sports.
  5. Option (D) limited scope: Option (D) is not representative of the entire district since it only surveys students from one high school.

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