Introductory Statistics
3rd Edition
ISBN: 9780135188927
Author: Gould, Robert, Ryan, Colleen N. (colleen Nooter)
Publisher: Pearson,
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Chapter 8, Problem 64SE
Smoking Cessation in HIV Patients In a 2018 study reported in The Lancet, Mercie et al. investigated the efficacy and safety of varenicline for smoking cessation in people living with HIV. The study was a randomized, double-blind, placebo-controlled trial. Of the 123 subjects treated with varenicline, 18 abstained from smoking for the entire 48-week study period. Of the 124 subjects assigned to the placebo group, 8 abstained from smoking for the entire study period.
a. Find the sample percentage of subjects in each group who abstained from smoking for the entire study period.
b. Determine whether varenicline is effective in reducing smoking among HIV patients. Note that this means we should test if the proportion of the varenicline group who abstained from smoking for the entire study period is significantly greater than that of the placebo group. Use a significance level of
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Throughout, 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).
16. 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).
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 a
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...
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