Essentials of Statistics (5th Edition)
5th Edition
ISBN: 9780321924599
Author: Mario F. Triola
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 9.2, Problem 16BSC
Testing Claims About Proportions. In Exercises 7-22, test the given claim. Identify the null hypothesis, alternative hypothesis, test statistic, P-value or critical value(s), then state the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim.
18. Denomination Effect A trial was conducted with 75 women in China given a 100-yuan bill, while another 75 women in China were given 100 yuan in the form of smaller bills (a 50-yuan bill plus two 20-yuan bills plus two 5-yuan bills). Among those given the single bill, 60 spent some or all of the money. Among those given the smaller bills, 68 spent some or all of the money (based on data from “The Denomination Effect,” by Raghubir and Srivastava, Journal of Consumer Research Vol. 36). We want to use a 0.05 significance level to test the claim that when given a single large bill, a smaller proportion of women in China spend some or all of the money when compared to the proportion of women in China given the same amount in smaller bills.
a. Test the claim using a hypothesis test.
b. Test the claim by constructing an appropriate confidence interval.
c. If the significance level is changed to 0.01, does the conclusion change?
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
17. Suppose that X1, X2,..., Xn are random variables, such that E|xk| < ∞ for
all k, and set Yn = max1
6. Show that, for any random variable, X, and a > 0,
L
P(x < X ≤ x+a) dx = a.
2015
15. This problem extends Problem 20.6. Let X, Y be random variables with finite
mean. Show that
(P(X ≤ x ≤ Y) - P(Y < x ≤ X))dx = E Y — E X.
Chapter 9 Solutions
Essentials of Statistics (5th Edition)
Ch. 9.2 - Verifying Requirements In the largest clinical...Ch. 9.2 - Verifying Requirements In the largest clinical...Ch. 9.2 - Hypotheses and Conclusions Refer to the hypothesis...Ch. 9.2 - Using Confidence Intervals a. Assume that we want...Ch. 9.2 - Interpreting Displays. In Exercises 5 and 6, use...Ch. 9.2 - Interpreting Displays. In Exercises 5 and 6, use...Ch. 9.2 - Testing Claims About Proportions. In Exercises...Ch. 9.2 - Prob. 8BSCCh. 9.2 - Testing Claims About Proportions. In Exercises...Ch. 9.2 - Testing Claims About Proportions. In Exercises...
Ch. 9.2 - Testing Claims About Proportions. In Exercises...Ch. 9.2 - Prob. 12BSCCh. 9.2 - Tennis Challenges Since the Hawk-Eye instant...Ch. 9.2 - Police Gunfire In a study of police gunfire...Ch. 9.2 - Testing Claims About Proportions. In Exercises...Ch. 9.2 - Testing Claims About Proportions. In Exercises...Ch. 9.2 - Testing Claims About Proportions. In Exercises...Ch. 9.2 - Marathon Finishers In a recent New York City...Ch. 9.2 - Overlap of Confidence Intervals In the article On...Ch. 9.2 - Equivalence of Hypothesis Test and Confidence...Ch. 9.2 - Determining Sample Size The sample size needed to...Ch. 9.3 - Independent and Dependent Samples Which of the...Ch. 9.3 - Interpreting Confidence Intervals If the heights...Ch. 9.3 - Interpreting Confidence Intervals What does the...Ch. 9.3 - Hypothesis Tests and Confidence Intervals a. In...Ch. 9.3 - In Exercises 5-20, assume that the two samples are...Ch. 9.3 - Prob. 6BSCCh. 9.3 - In Exercises 5-20, assume that the two samples are...Ch. 9.3 - Prob. 8BSCCh. 9.3 - In Exercises 5-20, assume that the two samples are...Ch. 9.3 - Prob. 10BSCCh. 9.3 - Prob. 11BSCCh. 9.3 - Prob. 12BSCCh. 9.3 - In Exercises 5-20, assume that the two samples are...Ch. 9.3 - In Exercises 5-20, assume that the two samples are...Ch. 9.3 - In Exercises 5-20, assume that the two samples are...Ch. 9.3 - In Exercises 5-20, assume that the two samples are...Ch. 9.3 - In Exercises 5-20, assume that the two samples are...Ch. 9.3 - In Exercises 5-20, assume that the two samples are...Ch. 9.3 - In Exercises 5-20, assume that the two samples are...Ch. 9.3 - In Exercises 5-20, assume that the two samples are...Ch. 9.3 - Prob. 21BSCCh. 9.3 - Large Data Sets. In Exercises 21-24, use the...Ch. 9.3 - Large Data Sets. In Exercises 21-24, use the...Ch. 9.3 - Large Data Sets. In Exercises 21-24, use the...Ch. 9.3 - Prob. 25BBCh. 9.3 - Pooling. In Exercises 25 and 26, assume that the...Ch. 9.3 - Prob. 27BBCh. 9.3 - Prob. 28BBCh. 9.3 - Prob. 29BBCh. 9.4 - True Statements? For the methods of this section,...Ch. 9.4 - Prob. 2BSCCh. 9.4 - Prob. 3BSCCh. 9.4 - Confidence Intervals If we use the sample data in...Ch. 9.4 - Prob. 5BSCCh. 9.4 - Prob. 6BSCCh. 9.4 - Calculations with Paired Sample Data. In Exercises...Ch. 9.4 - Prob. 8BSCCh. 9.4 - Prob. 9BSCCh. 9.4 - Prob. 10BSCCh. 9.4 - Prob. 11BSCCh. 9.4 - Prob. 12BSCCh. 9.4 - In Exercises 920, assume that the paired sample...Ch. 9.4 - In Exercises 920, assume that the paired sample...Ch. 9.4 - In Exercises 516, use the listed paired sample...Ch. 9.4 - Prob. 16BSCCh. 9.4 - In Exercises 920, assume that the paired sample...Ch. 9.4 - In Exercises 920, assume that the paired sample...Ch. 9.4 - In Exercises 920, assume that the paired sample...Ch. 9.4 - In Exercises 920, assume that the paired sample...Ch. 9.4 - Prob. 21BSCCh. 9.4 - Prob. 22BSCCh. 9.4 - Prob. 23BSCCh. 9.4 - Prob. 24BSCCh. 9.4 - Prob. 25BBCh. 9 - In Exercises 1-4, use the following surrey...Ch. 9 - In Exercises 1-4, use the following surrey...Ch. 9 - In Exercises 1-4, use the following surrey...Ch. 9 - In Exercises 1-4, use the following survey...Ch. 9 - Listed below are the costs (in dollars) of...Ch. 9 - Prob. 6CQQCh. 9 - Prob. 7CQQCh. 9 - Prob. 8CQQCh. 9 - Prob. 9CQQCh. 9 - Prob. 10CQQCh. 9 - Prob. 1RECh. 9 - Prob. 2RECh. 9 - Airbags Save Lives In a study of the effectiveness...Ch. 9 - Are Flights Cheaper When Scheduled Earlier? Listed...Ch. 9 - Self-Reported and Measured Female Heights As part...Ch. 9 - Eyewitness Accuracy of Police Does stress affect...Ch. 9 - Prob. 7RECh. 9 - Effect of Blinding Among 13,200 submitted...Ch. 9 - Comparing Means The baseline characteristics of...Ch. 9 - Comparing Variation Use the sample data from...Ch. 9 - Heights of Mothers and Daughters. In Exercises...Ch. 9 - Prob. 2CRECh. 9 - Prob. 3CRECh. 9 - Heights of Mothers and Daughters. In Exercises...Ch. 9 - Prob. 5CRECh. 9 - Dark Survey In a survey of 1032 Americans,...Ch. 9 - Backup Generator The USA Today web site posted...Ch. 9 - Juke Survey Late-night talk show host David...Ch. 9 - Normal Distribution Based on the measurements in...Ch. 9 - Prob. 10CRECh. 9 - Prob. 1FDDCh. 9 - Critical Thinking: Ages of workers killed in the...Ch. 9 - Critical Thinking: Ages of workers killed in the...Ch. 9 - Prob. 4FDDCh. 9 - Prob. 5FDDCh. 9 - Prob. 6FDD
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Similar questions
- 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
Recommended textbooks for you
College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL
College Algebra (MindTap Course List)
Algebra
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
Holt Mcdougal Larson Pre-algebra: Student Edition...
Algebra
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Hypothesis Testing - Solving Problems With Proportions; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=76VruarGn2Q;License: Standard YouTube License, CC-BY
Hypothesis Testing and Confidence Intervals (FRM Part 1 – Book 2 – Chapter 5); Author: Analystprep;https://www.youtube.com/watch?v=vth3yZIUlGQ;License: Standard YouTube License, CC-BY