Intro Stats, Books a la Carte Edition (5th Edition)
5th Edition
ISBN: 9780134210285
Author: Richard D. De Veaux, Paul Velleman, David E. Bock
Publisher: PEARSON
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Textbook Question
Chapter 13, Problem 44E
Teachers A 2011 Gallup poll found that 76% of Americans believe that high achieving high school students should be recruited to become teachers. This poll was based on a random sample of 1002 Americans.
- a) Find a 90% confidence interval for the proportion of Americans who would agree with this.
- b) Interpret your interval in this context.
- c) Explain what “90% confidence” means.
- d) Do these data refute a pundit’s claim that 2/3 of Americans believe this statement? Explain.
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Chapter 13 Solutions
Intro Stats, Books a la Carte Edition (5th Edition)
Ch. 13.2 - You want to poll a random sample of 100 students...Ch. 13.2 - Prob. 2JCCh. 13.2 - If you think that about half the students are in...Ch. 13.3 - A Pew Research study regarding cell phones asked...Ch. 13.3 - Prob. 5JCCh. 13.3 - A Pew Research study regarding cell phones asked...Ch. 13.3 - Prob. 7JCCh. 13.3 - Prob. 8JCCh. 13.5 - Prob. 9JCCh. 13.5 - Prob. 10JC
Ch. 13.5 - Prob. 11JCCh. 13 - Website An investment company is planning to...Ch. 13 - Marketing The proportion of adult women in the...Ch. 13 - Prob. 3ECh. 13 - Character recognition An automatic character...Ch. 13 - Prob. 5ECh. 13 - Hows life? Gallup regularly conducts a poll using...Ch. 13 - Prob. 7ECh. 13 - Prob. 8ECh. 13 - Send more money The philanthropic organization in...Ch. 13 - Character recognition, again The automatic...Ch. 13 - Prob. 11ECh. 13 - Prob. 12ECh. 13 - Prob. 13ECh. 13 - Spanking In a 2015 Pew Research study on trends in...Ch. 13 - Prob. 15ECh. 13 - Smoking The Gallup poll described in Exercise 6...Ch. 13 - Prob. 17ECh. 13 - Prob. 18ECh. 13 - Graduation Its believed that as many as 25% of...Ch. 13 - Hiring In preparing a report on the economy, we...Ch. 13 - Margin of error A TV newscaster reports the...Ch. 13 - Another margin of error A medical researcher...Ch. 13 - Conditions For each situation described below,...Ch. 13 - More conditions Consider each situation described....Ch. 13 - Conclusions A catalog sales company promises to...Ch. 13 - More conclusions In January 2002, two students...Ch. 13 - Confidence intervals Several factors are involved...Ch. 13 - Confidence intervals, again Several factors are...Ch. 13 - Cars What fraction of cars made in Japan? The...Ch. 13 - Prob. 30ECh. 13 - Mislabeled seafood In 2013 the environmental group...Ch. 13 - Mislabeled seafood, second course A Consumer...Ch. 13 - Prob. 33ECh. 13 - Prob. 34ECh. 13 - Prob. 35ECh. 13 - Take the offer First USA, a major credit card...Ch. 13 - Teenage drivers An insurance company checks police...Ch. 13 - Junk mail Direct mail advertisers send...Ch. 13 - Prob. 39ECh. 13 - Prob. 40ECh. 13 - Prob. 41ECh. 13 - Gambling A city ballot includes a local initiative...Ch. 13 - Rickets Vitamin D, whether ingested as a dietary...Ch. 13 - Teachers A 2011 Gallup poll found that 76% of...Ch. 13 - Prob. 45ECh. 13 - Back to campus ACT, Inc. reported that 74% of 1644...Ch. 13 - Deer ticks Wildlife biologists inspect 153 deer...Ch. 13 - Prob. 48ECh. 13 - Graduation, again As in Exercise 19, we hope to...Ch. 13 - Better hiring info Editors of the business report...Ch. 13 - Prob. 51ECh. 13 - Another pilot study During routine screening, a...Ch. 13 - Prob. 53ECh. 13 - Amendment A TV news reporter says that a proposed...
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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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