A large university surveyed a sample of their students currently living in dormitories to estimate the proportions of all students who prefer single rooms, double rooms, or multiple (more than two people) rooms in the dormitories on campus.
Which of the following should be considered before deciding whether the results from this sample can be generalized to all students at this university currently living in dormitories? (check all that apply)
whether or not the sample was randomly selected
the size of the sample compared to the number of students living in dormitories at the university
whether the university surveyed at least 100 students
the percentage of students contacted who responded
Correct options:
whether or not the sample was randomly selected
the size of the sample compared to the number of students living in dormitories at the university
Explanation:
The conditions for generalization from sample results to overall population:
(1) The sample group must be true representative of the population
(2) the size of the sample must allow the statistics to be safely extrapolated to entire population.A group that is too small may not capture the variation in the broader population.
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