Question

question 2 (multiple choice worth 2 points) (dm01hlc) the football team at a high school wants to conduct a survey of student opinion. the coaches want to begin with a simple random sample of 200 students. which of the following survey methods will produce a simple random sample? survey the first 200 students to arrive at school in the morning survey every 20th student entering the school gym until 200 students are surveyed number the students on the school roster. use a table of random numbers to choose 200 students from this roster for the survey. use random numbers to choose 50 each of freshmen, sophomores, juniors, and seniors number the gym seats. use a table of random numbers to choose seats and interview the students until 200 have been interviewed.

Explanation:

A simple random sample requires every possible group of 200 students from the entire student body to have an equal chance of being selected.

• Surveying the first 200 arriving students is a convenience sample (bias toward early arrivals).
• Surveying every 20th student is systematic sampling, not simple random.
• Stratified sampling (choosing 50 from each class) divides the population into groups first, which is not simple random.
• Numbering all students on the roster and using random numbers to pick 200 ensures every student has an equal independent chance of being selected, fitting a simple random sample.

Answer:

Number the students on the school roster. Use a table of random numbers to choose 200 students from this roster for the survey.