Introductory Statistics
3rd Edition
ISBN: 9780135188927
Author: Gould, Robert, Ryan, Colleen N. (colleen Nooter)
Publisher: Pearson,
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 8, Problem 35SE
News on Facebook A 2018 Gallup poll of 3635 randomly selected Facebook users found that 2472 get most of their news about world
a. Does this sample give evidence that the proportion of Facebook users who get their world news on Facebook has changed since 2013? Carry out a hypothesis test and use a
b. After conducting the hypothesis test, a further question one might ask is what proportion of all Facebook users got most of their news about world events on Facebook in 2018. Use the sample data to construct a
Expert Solution & Answer
Learn your wayIncludes step-by-step video
schedule04:35
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 8 Solutions
Introductory Statistics
Ch. 8 - Choose one of the answers given. The null...Ch. 8 - Choose one of the answers in each case. In...Ch. 8 - Vegetarians (Example 1) In 2016 a Harris poll...Ch. 8 - Embedded Tutors A college chemistry instructor...Ch. 8 - Teen Drivers According to a 2015 University of...Ch. 8 - Water A friend is tested to see whether he can...Ch. 8 - Prob. 7SECh. 8 - Law School Grad Employment The National...Ch. 8 - Soda Orders (Example 2) A manager at a casual...Ch. 8 - Mixed Nuts The label on a can of mixed nuts says...
Ch. 8 - Flu Vaccine (Example 3) An immunologist is testing...Ch. 8 - Law School Grad Employment An economist is testing...Ch. 8 - Prob. 13SECh. 8 - Hybrid Car Sales According to Green Car Reports,...Ch. 8 - Vegetarians (Example 4) In 2016 the Harris poll...Ch. 8 - Embedded Tutors A college chemistry instructor...Ch. 8 - Coke versus Pepsi (Example 5) Suppose you are...Ch. 8 - St. Louis Jury Pool St. Louis County is 24 African...Ch. 8 - Vegetarians (Example 6) In problem 8.15 the...Ch. 8 - Embedded Tutors In problem 8.16, a college...Ch. 8 - Hospital Readmission A hospital readmission is an...Ch. 8 - Guessing A 20-question multiple choice quiz has...Ch. 8 - Dreaming (Example 7) A 2003 study of dreaming...Ch. 8 - Age Discrimination About 30 of the population in...Ch. 8 - Self-Driving Cars (Example 8) In a Northeastern...Ch. 8 - Diabetes According to a Gallup poll, 11.55 of...Ch. 8 - Coke versus Pepsi A taste test is done to see...Ch. 8 - Seat Belts Suppose we are testing people to see...Ch. 8 - Working Out (Example 9) According to a 2018 survey...Ch. 8 - Vacations According to a 2017 AAA survey, 35 of...Ch. 8 - Working Out (Example 10) According to a 2018...Ch. 8 - Vacations According to a 2017 AAA survey, 35 of...Ch. 8 - p-Values For each graph, indicate whether the...Ch. 8 - p-Values For each graph, state whether the shaded...Ch. 8 - News on Facebook A 2018 Gallup poll of 3635...Ch. 8 - Olympic Viewing A 2018 Gallup poll of 2228...Ch. 8 - Global Warming Historically (from about 2001 to...Ch. 8 - Plane Crashes According to one source, 50 of plane...Ch. 8 - Mercury in Freshwater Fish Some experts believe...Ch. 8 - Twitter Suppose a poll is taken that shows 220 out...Ch. 8 - Morse’s Proportion of ts Samuel Morse determined...Ch. 8 - Morse’s Proportion of as Samuel Morse determined...Ch. 8 - p-Values (Example 11) A researcher carried out a...Ch. 8 - Coin Flips A test is conducted in which a coin is...Ch. 8 - Young Voters (Example 12) According to the...Ch. 8 - Errors with Toast Suppose you are testing someone...Ch. 8 - Blackstone on Errors in Trials Sir William...Ch. 8 - Alpha By establishing a small value for the...Ch. 8 - Superpower (Example 13) What superpower do...Ch. 8 - Flaws The null hypothesis on true/false tests is...Ch. 8 - Which Method? A proponent of a new proposition on...Ch. 8 - Which Method? A proponent of a new proposition on...Ch. 8 - Effectiveness of Financial Incentives A...Ch. 8 - Is it acceptable practice to look at your research...Ch. 8 - If we reject the null hypothesis, can we claim to...Ch. 8 - If we do not reject the null hypothesis, is it...Ch. 8 - When a person stands trial for murder, the jury is...Ch. 8 - When, in a criminal court, a defendant is found...Ch. 8 - Arthritis A magazine advertisement claims that...Ch. 8 - No-Carb Diet A weight-loss diet claims that it...Ch. 8 - When comparing two sample proportions with a...Ch. 8 - When comparing two sample proportions with a...Ch. 8 - Treatment for HIV-1 In a 2018 study reported in...Ch. 8 - Smoking Cessation in HIV Patients In a 2018 study...Ch. 8 - Reading (Example 14) The researchers in a Pew...Ch. 8 - Audio Books Pew Research published survey results...Ch. 8 - Freedom of the Press A Gallup poll asked college...Ch. 8 - Freedom of Religion A Gallup poll asked college...Ch. 8 - Environmental Quality (Example 15) A Gallup poll...Ch. 8 - Caregiving Responsibilities In 2017 the Pew...Ch. 8 - Prob. 71CRECh. 8 - Choosing a Test and Naming the Population(s) For...Ch. 8 - Choosing a Test and Giving the Hypotheses Give the...Ch. 8 - Choosing a Test and Naming the Population(s) In...Ch. 8 - Water Taste Test A student who claims that he can...Ch. 8 - Butter Taste Test A student is tested to determine...Ch. 8 - Biased Coin? A study is done to see whether a coin...Ch. 8 - Biased Coin? A study is done to see whether a coin...Ch. 8 - ESP A researcher studying extrasensory perception...Ch. 8 - Coin Flips Suppose you tested 50 coins by flipping...Ch. 8 - Student Age A community college used enrollment...Ch. 8 - Taste Test A student was tested to see if he could...Ch. 8 - Facebook Pew Research conducts polls on social...Ch. 8 - Television In the Pew Research social media...Ch. 8 - Presidential Election Pew Research reported that...Ch. 8 - Educational Attainment According to a 2016 report...Ch. 8 - Self-Employment According to the Bureau of Labor...Ch. 8 - Student Loans According to a 2016 report from the...Ch. 8 - Gun Control A Quinnipiac poll conducted on...Ch. 8 - Gay Marriage A Gallup poll conducted in 2017 found...Ch. 8 - Three-Strikes Law California’s controversial...Ch. 8 - Prob. 92CRECh. 8 - Prob. 93CRECh. 8 - Cloning Dolly the Sheep, the world’s first mammal...Ch. 8 - A friend claims he can predict the suit of a card...Ch. 8 - A friend claims he can predict how a six-sided die...Ch. 8 - Votes for Independents Judging on the basis of...Ch. 8 - Votes for Independents Refer to Exercise 8.97....Ch. 8 - Texting While Driving The mother of a teenager has...Ch. 8 - True/False Test A teacher giving a true/false test...Ch. 8 - ESP Suppose a friend says he can predict whether a...Ch. 8 - ESP Again Suppose a friend says he can predict...Ch. 8 - Does Hand Washing Save Lives? In the mid-1800s,...Ch. 8 - Opioid Crisis Suppose you wanted to test the claim...Ch. 8 - Guessing on a True/False Test A true/false test...Ch. 8 - Guessing on a Multiple-Choice Test A...
Additional Math Textbook Solutions
Find more solutions based on key concepts
Fill in each blank so that the resulting statement is true. Any set of ordered pairs is called a/an ____.The se...
Algebra and Trigonometry (6th Edition)
A child has 12 blocks, of which 6 are black, 4 are red, 1 is white, and 1 is blue. If the child puts the blocks...
A First Course in Probability (10th Edition)
Finding Critical Values. In Exercises 5–8, find the critical value z?/2 that corresponds to the given confidenc...
Elementary Statistics (13th Edition)
Derivatives Evaluate the derivatives of the following functions. 13. f(x) = tan1 10x
Calculus: Early Transcendentals (2nd Edition)
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
Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL
Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
College Algebra (MindTap Course List)
Algebra
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition...
Algebra
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
Sampling Methods and Bias with Surveys: Crash Course Statistics #10; Author: CrashCourse;https://www.youtube.com/watch?v=Rf-fIpB4D50;License: Standard YouTube License, CC-BY
Statistics: Sampling Methods; Author: Mathispower4u;https://www.youtube.com/watch?v=s6ApdTvgvOs;License: Standard YouTube License, CC-BY