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Exercises 45 through 48 refer to a study on the effectiveness of an HPV (human papilloma virus) vaccine conducted between October 1998 and November 1999. HPV is the most common sexually transmitted infection—more than 20 million Americans are infected with HPV—but most HPV infections are benign, and in most cases infected individuals are not even aware they are infected. (On the other hand, some HPV infections can lead to cervical cancer in women.) The researchers recruited 2392 women from 16 different centers across the United States to participate in the study through advertisements on college campuses and in the surrounding communities. To be eligible to participate in the study, the subjects had to meet the following criteria: (1) be a female between 16 and 23 years of age, (2) not be pregnant, (3) have no prior abnormal Pap smears, and (4) report to have had sexual relations with no more than five men. At each center, half of the participants were randomly selected to receive the HPV vaccine, and the other half received a placebo injection. After 17.4 months, the incidence of HPV infection was 3.8 per 100 woman-years at risk in the placebo group and 0 per 100 woman-years at risk in the vaccine group. In addition, all nine cases of HPV-related cervical precancerous growths occurred among the placebo recipients. [Source: New England Journal of Medicine, 347, no. 21 (November 21, 2002): 1645–1651.]
a. Describe the treatment group in the study.
b. Could this study be considered a double-blind, randomized controlled placebo study? Explain.
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Chapter 14 Solutions
Excursions in Modern Mathematics (9th Edition)
- 2 Q/ Let d₂ +d, di, d2: R² XR² R² defined as follow ((x+x), (2, 1) = √(x-2)² + (x_wx • d₁ ((x,y), (z, w)) = max {1x-z\, \y-w\} • 1 1 dq ((x,y), (Z, W)) = \ x=2\+\-w| 2 • show that dod₁, d₂ are equivalent? 2arrow_forward2 +d, di, d2: R² XR² > R² defined as follow Q/ Let d₂ 2/ d((x+x), (2, 1)) = √(x-2)² + (x-wsc • d₁ ((x,y), (z, w)) = max {| x-z\, \y-w\} • d₂ ((x, y), (Z, W)) = 1x-21+ \y-w| 2 • show that ddi, d₂ are equivalent? އarrow_forwardNumerical anarrow_forward
- 1. Prove the following arguments using the rules of inference. Do not make use of conditional proof. (а) а → (ЪЛс) ¬C ..¬a (b) (pVq) → →r יור (c) (c^h) → j ¬j h (d) s→ d t d -d ..8A-t (e) (pVg) (rv¬s) Лѕ קר .'arrow_forwardThe graph of f(x) is given below. Select each true statement about the continuity of f(x) at x = 1. Select all that apply: ☐ f(x) is not continuous at x = 1 because it is not defined at x = 1. ☐ f(x) is not continuous at x = 1 because lim f(x) does not exist. x+1 ☐ f(x) is not continuous at x = 1 because lim f(x) ‡ f(1). x+→1 ☐ f(x) is continuous at x = 1.arrow_forward2. Consider the following argument: (a) Seabiscuit is a thoroughbred. Seabiscuit is very fast. Every very fast racehorse can win the race. .. Therefore, some thoroughbred racehorse can win the race. Let us define the following predicates, whose domain is racehorses: T(x) x is a thoroughbred F(x) x is very fast R(x) x can win the race : Write the above argument in logical symbols using these predicates. (b) Prove the argument using the rules of inference. Do not make use of conditional proof. (c) Rewrite the proof using full sentences, avoiding logical symbols. It does not need to mention the names of rules of inference, but a fellow CSE 16 student should be able to understand the logical reasoning.arrow_forward
- Find the inverse of the matrix, or determine that the inverse does not exist for: € (b) 7 -12 240 1 1 1 (c) 2 3 2 2 17 036 205 20 (d) -1 1 2 1 T NO 1 0 -1 00 1 0 02 (e) 1 0 00 0 0 1 1arrow_forward4. Prove the following. Use full sentences. Equations in the middle of sentences are fine, but do not use logical symbols. (a) (b) (n+3)2 is odd for every even integer n. It is not the case that whenever n is an integer such that 9 | n² then 9 | n.arrow_forward3. (a) (b) Prove the following logical argument using the rules of inference. Do not make use of conditional proof. Vx(J(x)O(x)) 3x(J(x) A¬S(x)) . ·.³x(O(x) ^ ¬S(x)) Rewrite the proof using full sentences, avoiding logical symbols. It does not need to mention the names of rules of inference, but a fellow CSE 16 student should be able to understand the logical reasoning.arrow_forward
- 3. Pleasearrow_forwardWhat does the margin of error include? When a margin of error is reported for a survey, it includes a. random sampling error and other practical difficulties like undercoverage and non-response b. random sampling error, but not other practical difficulties like undercoverage and nonresponse c. practical difficulties like undercoverage and nonresponse, but not random smapling error d. none of the above is corretarrow_forwarda is done please show barrow_forward
- Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGALGlencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
- College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning
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