\begin{tabular}{l} Question 3 (Multiple Choice Worth 2 points) \\ (04.01 LC) \\ 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. \\ N \\ \hline\end{tabular}
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Choosing students based on their random identification numbers from a roster is a tried-and-true method for obtaining a simple random sample. It ensures that every student has an equal chance of being selected, avoiding biases that can arise from considering only students arriving at a specific time or location. Another effective technique is using random numbers to select seats in the gym. This method introduces a fun element, as it can turn into a surprise sampling event, catching students off guard and leading to more genuine responses to the survey. It’s a little like the luck of the draw, creating a fair selection process!
