If the correlation between number of children in a family and annual income was close to -1, we could conclude that: a) O high incomes cause people to have more children. b) O high incomes cause sterility. c) O low incomes cause people to have more children. d) O high-income families tend to have more children. e) O low-income families tend to have more children.
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- 3. Researchers Regine Dilla and associates wanted to determine whether consumption of cola is associated with lower bone mineral density. They looked at 1125 men and 1413 women in the Framingham Osteoporosis Study, which is a cohort that began in 1971. The first examination in this study began between 1971 and 1975, with participants returning for an examination every 4 years. Based on results of questionnaires, the researchers were able to determine cola consumption on a weekly basis. Analysis of the results indicated that women who consumed at least one cola per day (on average) had a bone mineral density that was significantly lower at the femoral neck than those who consumed less than one cola per day. The researchers did not find this relation in men. (a)Why is this a cohort study? (b)What is the response variable in this study? What is the explanatory variable? (c)Is the response variable qualitative or quantitative?2. A study for adverse reactions assigned adults at random to one of two common pain relievers (ibuprofen and acetaminophen). It was found that out of 733 adults who were administered ibuprofen, 103 of them experienced an adverse reaction, and out of 732 adults who were administered acetaminophen, 85 of them experienced an adverse reaction. Let p1 denote the proportion of adults who experience an adverse reaction when taking ibuprofen and let p2 denote the proportion of adults who experience an adverse reaction when taking acetaminophen. Suppose we want to answer the following questions. i) Test, at the 3% level of significance, whether the proportion of adults who experience an adverse reaction when taking ibuprofen is greater than the proportion of adults who experience an adverse reaction when taking acetaminophen. ii) Calculate the 97% confidence interval for p1 - P2. The table below provides the information needed to perform the hypothesis test: Value x1 103.0000 85.0000 733.0000…Review Later Question 8 If the correlation between body weight and annual income were high and positive, we could conclude that: a) O high-income people tend to spend a greater proportion of their income on food than low-income people. b) O high-income people tend to be heavier than low-income people. c) O high incomes cause people to gain weight. d) O high incomes cause people to eat more food. e) O low incomes cause people to eat more food. Review Later
- 1. A psychologist is interested in investigating the proportion of depressed teenagers in a particular city. Using a sample of 40 teenagers, 16 were found to exhibit symptoms of depression. At a = 0.01, test the claim that more than 35% of teenagers who live in the city are depressed. 2. A researcher wishes to determine the proportion of college students who smoke marijuana. He determined that from a sample of 120 college students, 24 tested positive of marijuana. Is it valid to infer that 20% of college students smoke marijuana? Use a = 0.05. 3. A telecommunications analyst believes that more than 34% of Filipinos subscribed to any of the available postpaid plans. A random sample of 55 was chosen and the gathered data showed that 22 are postpaid subscribers. At 0.10 significance level, is there sufficient evidence to conclude that more than 34% of Filipinos are postpaid subscribers?1. A local government official observes an increase in the number of individuals with cardiovascular and obesity problems in his barangay. In order to improve the health conditions of his constituents, he aims to promote an easy and cheap way to reduce weight. It is known that obesity results in risk of having illnesses like diabetes and heart problems. He encouraged his constituents to participate in his Dance for Life project every weekend for three months. To know if the program is effective in reducing weight, he randomly selected 12 participants from the group who completed the program. The weight loss data, in kilograms, of the 12 randomly selected participants after completing the program, are 0.5, 0.7, 0.9, 1.1, 1.2, 1.3, 1.4, 2.0, 2.3, 2.4, 2.7, and 3.0. It is known that the weight loss of those who have completed the dance program follows a normal distribution with variance of 3.24 kg2. a. Construct and interpret a 90% confidence interval for the true mean weight loss of…3. A sociologist studying freshmen at a major university carried out a survey, asking (among other questions) how often students went out per week, how many hours they studied per day, and how many hours they slept at night. Students will often overstate the number of hours studied, because they do not want to admit to not studying enough. This type of distortion is called: a. false answer. b. non-response bias. c. undercoverage bias. d. response bias.
- 3. Travelers who have no intention of showing up often fail to cancel their hotel reservations in a timely manner. These travelers are known, in the parlance of the hospitality trade, as "no-shows". To protect against no-shows and late cancellations, hotels invariably overbook rooms. A recent study examined the problems of over-booking rooms in the hotel industry. The following data, extracted from the study represent the daily numbers of late cancellations and no-shows for a random sample of 10 days at a hotel: 18, 16, 16, 16, 14, 18, 16, 18, 14, 19. c) Count the number of measurements that actually fall within the interval(-28, +2s) and express the interval count as a percentage of total number of measurements. at least 75% 100% 68% 95%10. The National Institute of Mental Health published an article stating that in any one-year period, approximately 9.5 percent of American adults suffer from depression or a depressive illness. Suppose that in a survey of 100 people in a certain town, seven of them suffered from depression or a depressive illness. If you were conducting a hypothesis test to determine if the true proportion of people in that town suffering from depression or a depressive illness is lower than the percent in the general adult American population, what would the null and alternative hypotheses be? a. Ho: b. Ha2. A study for adverse reactions assigned adults at random to one of two common pain relievers (ibuprofen and acetaminophen). It was found that out of 733 adults who were administered ibuprofen, 103 of them experienced an adverse reaction, and out of 732 adults who were administered acetaminophen, 85 of them experienced an adverse reaction. Let p1 denote the proportion of adults who experience an adverse reaction when taking ibuprofen and let p2 denote the proportion of adults who experience an adverse reaction when taking acetaminophen. Suppose we want to answer the following questions. i) Test, at the 3% level of significance, whether the proportion of adults who experience an adverse reaction when taking ibuprofen is greater than the proportion of adults who experience an adverse reaction when taking acetaminophen. ii) Calculate the 97% confidence interval for p1 - P2. The table below provides the information needed to perform the hypothesis test: Value x1 103.0000 85.0000 733.0000…
- 1. Pg 221 Good for the gut? Is fish good for the gut? Researchers tracked 22,000 male physicians for 22 years. Those who reported eating seafood of any kind at least 5 times per week had a 40% lower risk of colon cancer than those who said they ate seafood less than once a week. Based on this study, is it reasonable to conclude that eating seafood causes a reduction in the risk of colon cancer? Explain.442. A study for adverse reactions assigned adults at random to one of two common pain relievers (ibuprofen and acetaminophen). It was found that out of 733 adults who were administered ibuprofen, 103 of them experienced an adverse reaction, and out of 732 adults who were administered acetaminophen, 85 of them experienced an adverse reaction. Let p1 denote the proportion of adults who experience an adverse reaction when taking ibuprofen and let p2 denote the proportion of adults who experience an adverse reaction when taking acetaminophen. Suppose we want to answer the following questions. i) Test, at the 3% level of significance, whether the proportion of adults who experience an adverse reaction when taking ibuprofen is greater than the proportion of adults who experience an adverse reaction when taking acetaminophen. ii) Calculate the 97% confidence interval for p1 - P2. The table below provides the information needed to perform the hypothesis test: Value x1 103.0000 85.0000 733.0000…5) Reynoldsburg surveys Summit HS students. They found 90% of students are tired at 7:10am and 40% of those students who are tired at 7:10am are chronically late to school. What percent of all Summit HS students are both are tired at 7:10am and are chronically late to school?