Question

the student council at a high school wants to conduct a survey of student opinion. council members want to begin with a simple random sample of 160 students. which of the following survey methods will produce a simple random sample? survey the first 160 students to arrive at school in the morning number the students on the school roster. use a table of random numbers to choose 160 students from this roster for the survey. survey every 10th student entering the school gym until 160 students are surveyed use random numbers to choose 40 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 160 have been interviewed

Explanation:

A simple - random sample requires that every member of the population has an equal chance of being selected. Numbering the students on the school roster and using a table of random numbers to choose 160 students gives each student an equal probability of being selected. The first option may bias towards early - arriving students. The third option is a form of systematic sampling. The fourth option is a stratified sampling. The fifth option may bias towards students who sit in the gym.

Answer:

Number the students on the school roster. Use a table of random numbers to choose 160 students from this roster for the survey.