Statistics: The Art and Science of Learning from Data (4th Edition)
4th Edition
ISBN: 9780321997838
Author: Alan Agresti, Christine A. Franklin, Bernhard Klingenberg
Publisher: PEARSON
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Chapter 1.2, Problem 8PB
Concerned about global warming? The Institute for Public Opinion Research at Florida International University has conducted the FIU/Florida Poll (www2.fiu.edu/orgs/ipor/globwarm2.htm) of about 1200 Floridians annually since 1988 to track opinions on a wide variety of issues. In 2006 the poll asked, “How concerned are you about the problem of global warming?” The possible responses were very concerned, somewhat concerned, not very concerned, and haven’t heard about it. The poll reported percentages (44, 30, 21, 6) in these categories.
- a. Identify the sample and the population.
- b. Are the percentages quoted statistics or parameters? Why?
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Chapter 1 Solutions
Statistics: The Art and Science of Learning from Data (4th Edition)
Ch. 1.1 - Aspirin and heart attacks The Harvard Medical...Ch. 1.1 - Poverty and race The Current Population Survey...Ch. 1.1 - GSS and heaven Go to the General Social Survey...Ch. 1.1 - GSS and heaven and hell Refer to the previous...Ch. 1.1 - GSS for subject you pick At the GSS website, click...Ch. 1.2 - Description and inference a. Distinguish between...Ch. 1.2 - Censorship The General Social Survey in 2012 asked...Ch. 1.2 - Concerned about global warming? The Institute for...Ch. 1.2 - Graduate school information Suppose a liberal arts...Ch. 1.2 - Prob. 10PB
Ch. 1.2 - Prob. 11PBCh. 1.2 - At what age did women marry? A historian wants to...Ch. 1.2 - Prob. 13PBCh. 1.2 - National service Consider the population of all...Ch. 1.2 - Samples vary less with more data Well see that the...Ch. 1.2 - Comparing polls The following table shows the...Ch. 1.2 - Prob. 18PBCh. 1.2 - Smoking cessation A study published in 2010 in The...Ch. 1.3 - Prob. 20PBCh. 1.3 - Shopping sales data file Construct a data file...Ch. 1.3 - Sample with caution Individuals with children who...Ch. 1.3 - Prob. 23PBCh. 1.3 - Use a data file with software You may need to...Ch. 1.3 - Prob. 25PBCh. 1.3 - Ebola outbreaks Ebola virus disease outbreaks have...Ch. 1 - UW Student survey In a University of Wisconsin...Ch. 1 - Euthanasia The General Social Survey asked, in...Ch. 1 - Prob. 30CPCh. 1 - Breaking down Brown versus Whitman Example 2 of...Ch. 1 - Online learning Your university is interested in...Ch. 1 - Prob. 33CPCh. 1 - Prob. 34CPCh. 1 - Prob. 35CPCh. 1 - True or false? In a particular study, you could...Ch. 1 - Prob. 39CPCh. 1 - Prob. 40CP
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- 2. Which of the following statements are (not) true? lim sup{An U Bn} 818 lim sup{A, B} 818 lim inf{An U Bn} 818 818 lim inf{A, B} An An A, Bn- A, BnB →B = = = lim sup A, U lim sup Bn; 818 818 lim sup A, lim sup Bn; 818 81U lim inf A, U lim inf Bn; 818 818 lim inf A, lim inf Bn; n→X 818 An U BRAUB as no; An OBRANB as n→∞.arrow_forwardThroughout, A, B, (An, n≥ 1), and (Bn, n≥ 1) are subsets of 2. 1. Show that AAB (ANB) U (BA) = (AUB) (AB), Α' Δ Β = Α Δ Β, {A₁ U A2} A {B₁ U B2) C (A1 A B₁}U{A2 A B2).arrow_forward16. Show that, if X and Y are independent random variables, such that E|X|< ∞, and B is an arbitrary Borel set, then EXI{Y B} = EX P(YE B).arrow_forward
- Proposition 1.1 Suppose that X1, X2,... are random variables. The following quantities are random variables: (a) max{X1, X2) and min(X1, X2); (b) sup, Xn and inf, Xn; (c) lim sup∞ X and lim inf∞ Xn- (d) If Xn(w) converges for (almost) every w as n→ ∞, then lim- random variable. → Xn is aarrow_forwardExercise 4.2 Prove that, if A and B are independent, then so are A and B, Ac and B, and A and B.arrow_forward8. Show that, if {Xn, n ≥ 1) are independent random variables, then sup X A) < ∞ for some A.arrow_forward
- 8- 6. Show that, for any random variable, X, and a > 0, 8 心 P(xarrow_forward15. This problem extends Problem 20.6. Let X, Y be random variables with finite mean. Show that 00 (P(X ≤ x ≤ Y) - P(X ≤ x ≤ X))dx = E Y — E X.arrow_forward(b) Define a simple random variable. Provide an example.arrow_forward17. (a) Define the distribution of a random variable X. (b) Define the distribution function of a random variable X. (c) State the properties of a distribution function. (d) Explain the difference between the distribution and the distribution function of X.arrow_forward16. (a) Show that IA(w) is a random variable if and only if A E Farrow_forward15. Let 2 {1, 2,..., 6} and Fo({1, 2, 3, 4), (3, 4, 5, 6}). (a) Is the function X (w) = 21(3, 4) (w)+711.2,5,6) (w) a random variable? Explain. (b) Provide a function from 2 to R that is not a random variable with respect to (N, F). (c) Write the distribution of X. (d) Write and plot the distribution function of X.arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
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