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.

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

Step-by-step explanation:

A truly random sample would be one that gave every member of the population the same chance to be represented. This is why the method that will produce a simple random sample is one where the official school rooster is used and 200 students are selected randomly. This way every student in the school gets an equal chance of representation.

The first option is not random as it excludes students arriving after the first 200.

The second and last options will not be representative nor will it be random because it does not account for students who do not use the gym.

The fourth option limits the number of people that may be picked per class so reduces the chance of simple random selection across the school. This is stratified instead.

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step-by-step explanation: