The number of undergraduate students at the University of Winnipeg is approximat

Question

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 favor this decision. What can be said about the sampling variability associated with the two sample proportions? (A) The sample proportion from U of W has less sampling variability than that from U of M. (B) The sample proportion from U of W has more sampling variability that that from U of M. (C) The sample proportion from U of W has approximately the same sampling variability as that from 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.

Explanation / Answer

Option A as the sample size of U of W is very less than sample size of U of M i.e 9000<27000 the sample proportion of 3% will also be less i.e from U of W 270 and from U of M 810 so U of W will have less sample proportion than U of M due to less variability.

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.