A management student is planning a project on student attitudes toward part-time work while attending college. She develops a questionnaire and plans to ask 25 randomly selected students to fill it out. Her faculty adviser approves the questionnaire but suggests that the sample size should be increased to at least 100 students. Which of the following statements correctly identifies the relation between the margin of error for sample sizes of 100 and 25?

A management student is planning a project on student attitudes toward part-time work while attending college. She develops a questionnaire and plans to ask 25 randomly selected students to fill it out. Her faculty adviser approves the questionnaire but suggests that the sample size should be increased to at least 100 students. Which of the following statements correctly identifies the relation between the margin of error for sample sizes of 100 and 25?

A management student is planning a project on student attitudes toward part-time work while attending college. She develops a questionnaire and plans to ask 25 randomly selected students to fill it out. Her faculty adviser approves the questionnaire but suggests that the sample size should be increased to at least 100 students.
Which of the following statements correctly identifies the relation between the margin of error for sample sizes of 100 and 25?



A.
The margin of error for a sample size of 100 will be approximately one-fourth of the margin of error for a sample size of 25.
B.
The margin of error for a sample size of 100 will be approximately double of the margin of error for a sample size of 25.
C.
The margin of error for a sample size of 100 will be approximately half of the margin of error for a sample size of 25.


Answer: C.
The margin of error for a sample size of 100 will be approximately half of the margin of error for a sample size of 25.


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