Problem 1SE: Choose one of the answers given. The null hypothesis is always a statement about a (sample... Problem 2SE: Choose one of the answers in each case. In statistical inference, measurements are made on a ... Problem 3SE: Boot Camp (Example 1) Suppose an experiment is done with criminals released from prison in a certain... Problem 4SE: Scrubs A research hospital tries a new antibiotic scrub before surgery to see whether it can lower... Problem 5SE: Magic A magician claims he can cause a coin to come up heads more than 50 of the time. A coin is... Problem 6SE: Water A friend is tested to see whether he can tell bottled water from tap water. There are 30... Problem 7SE: Heart Attack Prevention A new drug is being tested to see whether it can reduce the chance of heart... Problem 8SE: Stroke Survival Rate The proportion of people who live after suffering a stroke is 0.85. Suppose... Problem 9SE: Coin Flips (Example 2) A coin is flipped 30 times and comes up heads 18 times. You want to test the... Problem 10SE: Die Rolls You roll a six-sided die 30 times and land on an ace (a one) 6 times. You want to test the... Problem 11SE Problem 12SE: Multiple-Choice Test A teacher is giving an exam with 20 multiple-choice questions, each with four... Problem 13SE: Dropouts According to Time magazine (June 11, 2012), the dropout rate for all college students with... Problem 14SE Problem 15SE: Boot Camp, Again (Example 4) Refer to Exercise 8.3. Suppose 100 people attend boot camp and 44 of... Problem 16SE Problem 17SE: Coke versus Pepsi (Example 5) Suppose you are testing someone to see whether she or he can tell Coke... Problem 18SE: St. Louis Jury Pool St. Louis County is 24 African American. Suppose you are looking at jury pools,... Problem 19SE: Coke vs. Pepsi (Example 6) Suppose you are testing someone to see if he or she can tell Coke from... Problem 20SE Problem 21SE: Cheating? A professor creates two versions of a 20 question multiple choice quiz. Each question has... Problem 22SE: Guessing A 20-question multiple choice quiz has five choices for each question. Suppose that a... Problem 23SE: Dreaming (Example 7) A 2003 study of dreaming published in the journal Perceptual and Motor Skills... Problem 24SE: Age Discrimination About 30 of the population in Silicon Valley, a region in California, are between... Problem 25SE: Marriage Obsolete (Example 8) When asked whether marriage is becoming obsolete, 782 out of 2004... Problem 26SE Problem 27SE: Coke versus Pepsi A taste test is done to see whether a person can tell Coke from Pepsi. In each... Problem 28SE: Seat Belts Suppose we are testing people to see whether the rate of use of seat belts has changed... Problem 29SE: Sleep Walking (Example 9) According to Time magazine (May 28, 2012), 33 of people in the United... Problem 30SE Problem 31SE: Sleep Walking, Again (Example 10) According to Time magazine (May 28, 2012), of people in the U.S.... Problem 32SE: Women CEOs, Again the percentage of female CEOs in 2013 in fortune 500 companies was 4#37; according... Problem 33SE: p-Values For each graph, indicate whether the shaded area could represent a p-value. Explain why or... Problem 34SE: p-Values For each graph, state whether the shaded area could represent a p-value. Explain why or why... Problem 35SE: Gun Control Historically, the percentage of U.S. residents who support stricter gun control laws has... Problem 36SE: Death Penalty A Pew Poll in November 2011 showed that 1241 out of 2001 randomly polled people favor... Problem 37SE Problem 38SE: Plane Crashes According to one source, 50 of plane crashes are due at least in part to pilot error... Problem 39SE: Mercury in Freshwater Fish Some experts believe that 20 of all freshwater fish in the United States... Problem 40SE Problem 41SE: Morse’s Proportion of ts Samuel Morse determined that the percentage of ts in the English language... Problem 42SE: Morse’s Proportion of as Samuel Morse determined that the percentage of as in the English language... Problem 43SE: p-Values (Example 11) A researcher carried out a hypothesis test using a two-sided alternative... Problem 44SE: Coin Flips A test is conducted in which a coin is flipped 30 times to test whether the coin is... Problem 45SE: Errors with Pennies (Example 12) Suppose you are spinning pennies to test whether you get biased... Problem 46SE: Errors with Toast Suppose you are testing someone to see whether he or she can tell butter from... Problem 47SE: Blackstone on Errors in Trials Sir William Blackstone 1723-1780 wrote influential books on common... Problem 48SE: Alpha By establishing a small value for the significance level, are we guarding against the first... Problem 49SE: Flaws (Example 13) A person spinning a 1962 penny gets 10 heads out of 50 spins. Because she gets a... Problem 50SE: Flaws The null hypothesis on true/false tests is that the student is guessing, and the proportion of... Problem 51SE: Which Method? A proponent of a new proposition on a ballot wants to know whether the proposition is... Problem 52SE: Which Method? A proponent of a new proposition on a ballot wants to know the population percentage... Problem 53SE: Effectiveness of Financial Incentives A psychologist is interested in testing whether offering... Problem 54SE: Is it acceptable practice to look at your research results, note the direction of the difference,... Problem 55SE: If we reject the null hypothesis, can we claim to have proved that the null hypothesis is false? Why... Problem 56SE: If we do not reject the null hypothesis, is it valid to say that we accept the null hypothesis? Why... Problem 57SE: When a person stands trial for murder, the jury is instructed to assume that the defendant is... Problem 58SE: When, in a criminal court, a defendant is found “not guilty,” is the court saying with certainty... Problem 59SE: Arthritis A magazine advertisement claims that wearing a magnetized bracelet will reduce arthritis... Problem 60SE: No-Carb Diet A weight-loss diet claims that it causes weight loss by eliminating carbohydrates... Problem 61SE: When comparing two sample proportions with a two-sided alternative hypothesis, all other factors... Problem 62SE: When comparing two sample proportions with a two-sided alternative hypothesis, all other factors... Problem 63SE Problem 64SE Problem 65SE Problem 66SE Problem 67SE Problem 68SE Problem 69SE: Smiling and Gender (Example 15) In a 1997 study, people were observed for about 10 seconds in public... Problem 70SE Problem 71CRE Problem 72CRE Problem 73CRE: Choosing a Test and Giving the Hypotheses Give the null and alternative hypotheses for each test,... Problem 74CRE: Choosing a Test and Naming the Population(s) In each case, choose whether the appropriate test is a... Problem 75CRE Problem 76CRE: Butter Taste Test A man is tested to determine whether he can tell butter from margarine. He is... Problem 77CRE: Biased Coin? A study is done to see whether a coin is biased. The alternative hypothesis used is... Problem 78CRE: Biased Coin? A study is done to see whether a coin is biased. The alternative hypothesis used is... Problem 79CRE Problem 80CRE: Coin Flips Suppose you tested 50 coins by flipping each of them many times. For each coin, you... Problem 81CRE Problem 82CRE Problem 83CRE Problem 84CRE: Weight Loss in Men Many polls have asked people 'whether they are trying to lose weight. A Gallup... Problem 85CRE Problem 86CRE Problem 87CRE Problem 88CRE Problem 89CRE: Wording of Polls A poll in California (done by the Public Policy Institute) asked whether the... Problem 90CRE Problem 91CRE: Three-Strikes Law California’s controversial “three-strikes law” requires judges to sentence anyone... Problem 92CRE Problem 93CRE Problem 94CRE Problem 95CRE: A friend claims he can predict the suit of a card drawn from a standard deck of 52 cards. There are... Problem 96CRE: A friend claims he can predict how a six-sided die will land. The parameter, p, is the long-run... Problem 97CRE: Votes for Independents Judging on the basis of experience, a politician claims that 50 of voters in... Problem 98CRE: Votes for Independents Refer to Exercise 8.97. Suppose 14 out of 20 voters in Pennsylvania report... Problem 99CRE: Texting While Driving The mother of a teenager has heard a claim that 25 of teenagers who drive and... Problem 100CRE: True/False Test A teacher giving a true/false test wants to make sure her students do better than... Problem 101CRE: ESP Suppose a friend says he can predict whether a coin flip will result in heads or tails. You test... Problem 102CRE: ESP Again Suppose a friend says he can predict whether a coin flip will result in heads or tails.... Problem 103CRE: Does Hand Washing Save Lives? In the mid-1800s, Dr. Ignaz Semmelweiss decided to make doctors wash... Problem 104CRE Problem 105CRE: Guessing on a True/False Test A true/false test has 50 questions. Suppose a passing grade is 35 or... Problem 106CRE: Guessing on a Multiple-Choice Test A multiple-choice test has 50 questions with four possible... format_list_bulleted