Concept explainers
7. In 2005, Fung et al. published a study reporting that patients prefer technical quality vs. interpersonal skill when electing a primary care physician. Participant were presented with report card describing pairs of hypothetical physicians and were asked to select the one that they preferred. Suppose that this study is repeated with a sample of n = 150 participants, and the result show that physicians with greater technical skill are preferred by 92 participants and physicians with greater interpersonal skills are selected by 58. Are these results sufficient to conclude that there is a significant preference for technical skill? Test with
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- “Poor quality medicines” is a term inclusive of counterfeit, substandard, and degraded medicines. In a study of 225 medicines with questionable quality, the following data was obtained: 90 were found to be counterfeit, 80 are substandard, and 68 are degraded. 12 were also reported to be counterfeit and substandard, 10 were counterfeit and degraded, and 14 were substandard and degraded. There are 5 medications that had all three problems. What is the probability that a randomly selected medication in this study belongs to only counterfeit? P(Counterfeit) = Round to two decimal places What is the probability that a randomly selected medication in this study belongs to only substandard? P(Substandard) = Round to two decimal places What is the probability that a randomly selected medication in this study belongs to only degraded? P(Degraded) = Round to two decimal places What is the probability that a randomly selected medication in this study does not have…arrow_forwardThe Health Behaviour in School-Aged Children (HSBC) network collects data on various behaviors of preteen and teenage children. In 2006, the HSBC network surveyed a randomly selected sample of 638 preteen and teenage boys in Greenland to determine what proportion of students were bullied at least twice per month in the previous few months. In the sample, 147 students were bullied at least twice per month, and 491 students were bullied less than twice per month. The HSBC network wants to construct a 95% confidence interval for p, the proportion of preteen and teenage boys who are bullied at least twice per month in Greenland. Have the requirements for a large-sample z-confidence interval been met? Mark all of the following requirements that have been met with yes, and the requirements that have not been met with no. O O The sample is a simple random sample. The parameter of interest is categorical with two possible outcomes, which are considered success and failure. When the sample…arrow_forwardAccording to the February 2008 Federal Trade Commission report on consumer fraud and identity theft, 23% of all complaints in the U.S. in 2007 were for identity theft. In that year, Alaska had 321 complaints of identity theft out of 1,432 consumers ("Consumer fraud and," 2008). Does this data provide enough evidence to show that Alaska had a different proportion of identity theft than 23%? Test at 5% level.arrow_forward
- A researcher is interested in exploring the relationship between calcium intake and weight loss. Two different groups, each with 2626 dieters, are chosen for the study. Group A is required to follow a specific diet and exercise regimen, and also take a 500-mg supplement of calcium each day. Group B is required to follow the same diet and exercise regimen, but with no supplemental calcium. After six months on the program, the members of Group A had lost a mean of 10.4 pounds with a standard deviation of 2.6 pounds. The members of Group B had lost a mean of 11.7pounds with a standard deviation of 2.8 pounds during the same time period. Assume that the population variances are not the same. Construct a 99% confidence interval to estimate the true difference between the mean amounts of weight lost by dieters who supplement with calcium and those who do not. Let Population 1 be the amount of weight lost by Group A, who took a 500-mg supplement of calcium each day, and let Population 2 be…arrow_forward9. Nicotine patches are often used to help smokers quit. Does giving medicine to fight depression also help? A randomized double-blind experiment assigned 244 smokers to receive nicotine patches and another 245 to receive both a patch and the antidepressant drug bupropion. After a year, 40 subjects in the nicotine patch group had abstained from smoking, as had 87 in the patch-plus-drug group. (a) Construct and interpret a 99% confidence interval for the difference in the proportion of smokers who abstain when using buproprion and a nicotine patch and the proportion who abstain when using only a patch. (b) Based only on this interval, do you think that the difference in proportion of abstaining smokers is significant? Justify your answer.arrow_forwardIt is claimed that the average amount of time boys and girls (age between 7 and 11) spend playing each day is the same. A child psychologist believes that boys, on average, spend more time playing sports than girls. He randomly selected 60 girls and 95 boys and observed their play time on sports. From his samples he found that girls have spend on average 2.6 hours, and boys have spent on average 3.9 hours playing sports. It is found that the time spent playing sports is normally distributed for girls with a standard deviation of 0.34 hours and for boys with a standard deviation of 1.53 hours. Is this day sufficient to support the psychologist claim? Do the test at 5% level of significance. Assume girls belong to population 1 and boys belong to population 2. Data given in this question are: y-bar1 = 2.6, y-bar2 = 3.9, sigma1 = 0.34, sigma2 = 1.53 mu1 = 2.6, mu2 = 3.9, sigma1 = 0.34, sigma2 = 1.53 y-bar1 = 2.6, y-bar2 = 3.9, s1 = 0.34, s2 = 1.53 mu1 = 2.6,…arrow_forward
- A study investigating the effect of student gender on poor academic performance (measured as having a grade of B or lower) at the University of Colorado reported that 17% of male students had poor performance and that 11% of female students had poor performance. Given this information, can we determine if there is an association between sex and academic performance? (Choose the one best answer). Group of answer choices Yes, female students have a lower rate of poor academic performance therefore poor academic performance is associated with being a female student. No, male students only have a slightly higher prevalence of poor academic performance compared to female students and therefore there is no association between poor performance and gender. Yes, male students have a higher rate of poor academic performance therefore poor academic performance is associated with being a male student. No, the prevalence values alone cannot be used to assess an association between…arrow_forwardA researcher is interested in exploring the relationship between calcium intake and weight loss. Two different groups, each with 2828 dieters, are chosen for the study. Group A is required to follow a specific diet and exercise regimen, and also take a 500500-mg supplement of calcium each day. Group B is required to follow the same diet and exercise regimen, but with no supplemental calcium. After six months on the program, the members of Group A had lost a mean of 15.215.2 pounds with a standard deviation of 2.52.5 pounds. The members of Group B had lost a mean of 12.312.3 pounds with a standard deviation of 1.91.9 pounds during the same time period. Assume that the population variances are not the same. Construct a 95%95% confidence interval to estimate the true difference between the mean amounts of weight lost by dieters who supplement with calcium and those who do not. Let Population 1 be the amount of weight lost by Group A, who took a 500500-mg supplement of calcium each day,…arrow_forwardA researcher is interested in exploring the relationship between calcium intake and weight loss. Two different groups, each with 2121 dieters, are chosen for the study. Group A is required to follow a specific diet and exercise regimen, and also take a 500500-mg supplement of calcium each day. Group B is required to follow the same diet and exercise regimen, but with no supplemental calcium. After six months on the program, the members of Group A had lost a mean of 14.314.3 pounds with a standard deviation of 1.21.2 pounds. The members of Group B had lost a mean of 12.112.1 pounds with a standard deviation of 2.42.4 pounds during the same time period. Assume that the population variances are not the same. Construct a 99%99% confidence interval to estimate the true difference between the mean amounts of weight lost by dieters who supplement with calcium and those who do not. Let Population 1 be the amount of weight lost by Group A, who took a 500500-mg supplement of calcium each day,…arrow_forward
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