Statistics: The Art and Science of Learning From Data, Books a la Carte Edition (4th Edition)
4th Edition
ISBN: 9780133860825
Author: Alan Agresti, Christine A. Franklin, Bernhard Klingenberg
Publisher: PEARSON
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Textbook Question
Chapter 9.2, Problem 16PB
Religion important in your life? Americans ages 18 to 29 are considered to be less religious than older Americans. According to recent studies by the Pew Forum on Religion & Public Life, fewer young adults are affiliated with a specific religion than older people today. And, compared with their elders, fewer young people say that religion is very important in their lives. Yet, many young people still believe in traditional religious concepts and practices. Pew Research Center surveys show, for example, that “young adults’ beliefs about life after death and the existence of heaven, hell and miracles closely resemble the beliefs of older people today.” According to GSS (General Social Survey) results from a random sample of 1,679 subjects, 45% in the 18–29 age group pray daily whereas 55% pray less often.5 The MINITAB output shows the results for a significance test for which the alternative hypothesis is that the percentage of 18–29-year-olds who pray daily differs from 50%. State and interpret the five steps of a significance test in this context, using information shown in the output to provide the particular values for the hypothesis, test statistic, and P-value.
Test and CI for One Proportion
Test of p = 0.5 vs p ≠ 0.5
Using the normal approximation.
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A well-known company predominantly makes flat pack furniture for students. Variability with the automated machinery means the wood components are cut with a standard deviation in length of 0.45 mm. After they are cut the components are measured. If their length is more than 1.2 mm from the required length, the components are rejected.
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Chapter 9 Solutions
Statistics: The Art and Science of Learning From Data, Books a la Carte Edition (4th Edition)
Ch. 9.1 - H0 or Ha? For parts a and b, is the statement a...Ch. 9.1 - H0 or Ha? For each of the following, is the...Ch. 9.1 - Burden of proof For a new pesticide, should the...Ch. 9.1 - Financial aid The average financial aid package...Ch. 9.1 - Low-carbohydrate diet A study plans to have a...Ch. 9.1 - Prob. 6PBCh. 9.1 - Proper hypotheses? Explain what is wrong with each...Ch. 9.1 - Prob. 8PBCh. 9.1 - P-value Indicate whether each of the following...Ch. 9.2 - Psychic A person who claims to be psychic says he...
Ch. 9.2 - Prob. 11PBCh. 9.2 - Get P-value from z For a test of H0: p = 0.50, the...Ch. 9.2 - Get more P-values from z Refer to the previous...Ch. 9.2 - Find test statistic and P-value For a test of H0:...Ch. 9.2 - Dogs and cancer A recent study4 considered whether...Ch. 9.2 - Religion important in your life? Americans ages 18...Ch. 9.2 - Prob. 17PBCh. 9.2 - Prob. 18PBCh. 9.2 - Testing a headache remedy Studies that compare...Ch. 9.2 - Gender bias in selecting managers For a large...Ch. 9.2 - Gender discrimination Refer to the 95% confidence...Ch. 9.2 - Garlic to repel ticks A study (J. Amer. Med....Ch. 9.2 - Exit-poll predictions According to an exit poll of...Ch. 9.2 - Which cola? The 49 students in a class at the...Ch. 9.2 - How to sell a burger A fast-food chain wants to...Ch. 9.2 - A binomial headache A null hypothesis states that...Ch. 9.2 - P-value for small samples Example 4, on whether...Ch. 9.3 - Which t has P-value = 0.05? A t test for a mean...Ch. 9.3 - Practice mechanics of a t test A study has a...Ch. 9.3 - Prob. 30PBCh. 9.3 - Low carbohydrate diet In a recent study,8 272...Ch. 9.3 - Prob. 32PBCh. 9.3 - Facebook friends Many students brag that they have...Ch. 9.3 - Lake pollution An industrial plant claims to...Ch. 9.3 - Weight change for controls A disadvantage of the...Ch. 9.3 - Crossover study A crossover study of 13 children...Ch. 9.3 - Too little or too much wine? Wine-pouring vending...Ch. 9.3 - Prob. 38PBCh. 9.3 - Assumptions important? Refer to the previous...Ch. 9.3 - Anorexia in teenage girls Example 8 described a...Ch. 9.3 - Sensitivity study Ideally, results of a...Ch. 9.3 - Prob. 42PBCh. 9.4 - Dr. Dog In the experiment in Example 4, we got a...Ch. 9.4 - Error probability A significance test about a...Ch. 9.4 - Fracking errors Example 6, in testing H0: p = 0.5...Ch. 9.4 - Prob. 46PBCh. 9.4 - Anorexia decision Refer to the previous exercise....Ch. 9.4 - Prob. 48PBCh. 9.4 - Errors in medicine Consider the test of H0: The...Ch. 9.4 - Prob. 50PBCh. 9.4 - Detecting prostate cancer Refer to the previous...Ch. 9.4 - Prob. 52PBCh. 9.5 - Misleading summaries? Two researchers conduct...Ch. 9.5 - Practical significance A study considers whether...Ch. 9.5 - Prob. 55PBCh. 9.5 - Fishing for significance A marketing study...Ch. 9.5 - Prob. 57PBCh. 9.5 - Prob. 58PBCh. 9.5 - Interpret medical research studies a. An...Ch. 9.6 - Find P(Type II error) A study is designed to test...Ch. 9.6 - Gender bias in selecting managers Exercise 9.20...Ch. 9.6 - Prob. 62PBCh. 9.6 - P(Type II error) large when p close to H0 For...Ch. 9.6 - Prob. 64PBCh. 9.6 - Power for infertility trial Consider Example 13...Ch. 9.6 - Exploring Type II errors Refer to the web app from...Ch. 9 - H0 or Ha? For each of the following hypotheses,...Ch. 9 - Write H0 and Ha For each of the following...Ch. 9 - Prob. 69CPCh. 9 - Free-throw accuracy Consider all cases in which a...Ch. 9 - Brown or Whitman? Californias governor election in...Ch. 9 - Prob. 72CPCh. 9 - Prob. 73CPCh. 9 - Prob. 74CPCh. 9 - Prob. 75CPCh. 9 - Start a hockey team A fraternity at a university...Ch. 9 - Prob. 77CPCh. 9 - Prob. 78CPCh. 9 - Prob. 79CPCh. 9 - Prob. 80CPCh. 9 - Prob. 81CPCh. 9 - Two ideal children? Is the ideal number of...Ch. 9 - Prob. 83CPCh. 9 - Prob. 84CPCh. 9 - Blood pressure When Vincenzo Baranellos blood...Ch. 9 - Increasing blood pressure In the previous...Ch. 9 - Tennis balls in control? When it is operating...Ch. 9 - Prob. 88CPCh. 9 - Prob. 89CPCh. 9 - CI and test Refer to the previous exercise. a. For...Ch. 9 - Prob. 91CPCh. 9 - Religious beliefs statistically significant? A...Ch. 9 - Prob. 93CPCh. 9 - Prob. 94CPCh. 9 - Prob. 95CPCh. 9 - Prob. 96CPCh. 9 - Prob. 98CPCh. 9 - Baseball home team advantage In Major League...Ch. 9 - Prob. 100CPCh. 9 - Prob. 101CPCh. 9 - Prob. 102CPCh. 9 - Prob. 103CPCh. 9 - Prob. 104CPCh. 9 - Prob. 105CPCh. 9 - Prob. 106CPCh. 9 - Prob. 107CPCh. 9 - Prob. 108CPCh. 9 - Significance Explain the difference between...Ch. 9 - More doctors recommend An advertisement by Company...Ch. 9 - Prob. 111CPCh. 9 - Bad P-value interpretations A random sample of...Ch. 9 - Prob. 113CPCh. 9 - Prob. 114CPCh. 9 - Prob. 115CPCh. 9 - Prob. 116CPCh. 9 - Prob. 117CPCh. 9 - Prob. 118CPCh. 9 - Prob. 119CPCh. 9 - Prob. 120CPCh. 9 - Prob. 121CPCh. 9 - True or false A 95% confidence interval for =...Ch. 9 - Prob. 123CPCh. 9 - Prob. 124CPCh. 9 - Prob. 125CPCh. 9 - Prob. 126CPCh. 9 - Prob. 127CPCh. 9 - Prob. 128CP
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