Concept explainers
Exercises 25 through 28 refer to the following story: The Cleansburg Planning Department is trying to determine what percent of the people in the city want to spend public funds to revitalize the downtown mall. To do so, the department decides to conduct a survey. Five professional interviewers are hired. Each interviewer is asked to pick a street corner of his or her choice within the city limits, and every day between 4:00 P.M. and 6:00 P.M. the interviewers are supposed to ask each passerby if he or she wishes to respond to a survey sponsored by Cleansburg City Hall. If the response is yes, the follow-up question is asked: Are you in favor of spending public funds to revitalize the downtown mall? The interviewers are asked to return to the same street corner as many days as are necessary until each has conducted a total of 100 interviews. The results of the survey are shown in Table 14-3.
Interviewer |
|
|
|
A | 35 | 65 | 321 |
B | 21 | 79 | 208 |
C | 58 | 42 | 103 |
D | 78 | 22 | 87 |
|
12 | 63 | 594 |
a. What is the
b. Calculate the response rate in this survey. Was this survey subject to nonresponse bias?
Want to see the full answer?
Check out a sample textbook solutionChapter 14 Solutions
Excursions in Modern Mathematics (9th Edition)
- (c) Utilize Fubini's Theorem to demonstrate that E(X)= = (1- F(x))dx.arrow_forward(c) Describe the positive and negative parts of a random variable. How is the integral defined for a general random variable using these components?arrow_forwardLet k ≥ 1, and let G be a k-regular bipartite graph with bipartition X, Y . Prove that |X| is the minimum size of a vertex cover in G.arrow_forward
- 3. [10 marks] Let Go = (V,E) and G₁ = (V,E₁) be two graphs on the same set of vertices. Let (V, EU E1), so that (u, v) is an edge of H if and only if (u, v) is an edge of Go or of G1 (or of both). H = (a) Show that if Go and G₁ are both Eulerian and En E₁ = Ø (i.e., Go and G₁ have no edges in common), then H is also Eulerian. (b) Give an example where Go and G₁ are both Eulerian, but H is not Eulerian.arrow_forward26. (a) Provide an example where X, X but E(X,) does not converge to E(X).arrow_forward(b) Demonstrate that if X and Y are independent, then it follows that E(XY) E(X)E(Y);arrow_forward
- (d) Under what conditions do we say that a random variable X is integrable, specifically when (i) X is a non-negative random variable and (ii) when X is a general random variable?arrow_forward29. State the Borel-Cantelli Lemmas without proof. What is the primary distinction between Lemma 1 and Lemma 2?arrow_forward(c) Explain the Dominated Convergence Theorem (DCT) without providing a proof.arrow_forward
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillBig Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin HarcourtHolt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL