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The number of undergraduate students at the University of Winnipeg is approximately 9,000, while the University of Manitoba has approximately 27,000 undergraduate students. Suppose that,

The number of undergraduate students at the University of Winnipeg is approximately 9,000, while the University of Manitoba has approximately 27,000 undergraduate students. Suppose that, at each university, a simple random sample of 3% of the undergraduate students is selected and the following question is asked: "Do you approve of the provincial government's decision to lift the tuition freeze?". Suppose that, within each university, approximately 20% of undergraduate students favour this decision. What can be said about the sampling variability associated with the two sample proportions? (A) The sample proportion for the U of W has less sampling variability than that for the U of M. (B) The sample proportion for the U of W has more sampling variability that that for the U of M. (C) The sample proportion for the U of W has approximately the same sampling variability as that for the U of M. (D) It is impossible to make any statements about the sampling variability of the two sample proportions without taking many samples. (E) It is impossible to make any statements about the sampling variability of the two sample proportions because the population sizes are different.

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