At Central High School, 28% of the students are Freshmen, 26% are Sophomores, 24% are Juniors, and 22% are Seniors. The student manager of the school newspaper would like to conduct a survey to estimate the proportion of each class that plans to attend the upcoming Football game. She suggests surveying a random sample of 100 students, but specifically by selecting random samples of 28 Freshmen, 26 Sophomores, 24 Juniors, and 22 Seniors. Which of the following is a true statement about this sampling procedure? (A) This is a simple random sample because students of every class have an equal chance of being selected. (B) This is a cluster random sample because there are 4 groups of students that are to be selected. (C) This is a convenience sample because only 100 students are surveyed, which is a manageable size. (D) This is a stratified random sample because a separate random sample is selected from each class. (E) Yes, because the difference between the sample proportion and the population proportion is 0.04, which is less than 0.05.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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At Central High School, 28% of the students are Freshmen, 26% are Sophomores, 24% are Juniors, and 22% are Seniors. The student manager of the school newspaper would like to conduct a survey to estimate the proportion of each class that plans to attend the upcoming Football game. She suggests surveying a random sample of 100 students, but specifically by selecting random samples of 28 Freshmen, 26 Sophomores, 24 Juniors, and 22 Seniors. Which of the following is a true statement about this sampling procedure?

  • (A) This is a simple random sample because students of every class have an equal chance of being selected.
  • (B) This is a cluster random sample because there are 4 groups of students that are to be selected.
  • (C) This is a convenience sample because only 100 students are surveyed, which is a manageable size.
  • (D) This is a stratified random sample because a separate random sample is selected from each class.
  • (E) Yes, because the difference between the sample proportion and the population proportion is 0.04, which is less than 0.05.
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