Are you really being served red snapper? Refer to the Nature (July 15, 2004) study offish specimens labeled “red snapper,” Exercise 3.75 (p. 172). Recall that federal law prohibits restaurants from serving a cheaper, look-alike variety of fish (e.g., vermillion snapper or lane snapper) to customers who order red snapper. A team of University of North Carolina (UNC) researchers analyzed the meat from each in a sample of 22 “red snapper” fish fillets purchased from vendors across the United States in an effort to estimate the true proportion of fillets that are really red snapper. DNA tests revealed that 17 of the 22 fillets (or 77%) were not red snapper but the cheaper, look-alike variety of fish.
- a. Identify the parameter of interest to the UNC researchers.
- b. Explain Why a large-sample confidence interval is inappropriate to apply in this study.
- c. Construct a 95% confidence interval for the parameter of interest using Wilson’s adjustment.
- d. Give a practical interpretation of the confidence interval.
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Chapter 6 Solutions
Statistics for Business and Economics (13th Edition)
- What is meant by the sample space of an experiment?arrow_forwardA paper investigated the driving behavior of teenagers by observing their vehicles as they left a high school parking lot and then again at a site approximately 1 2 mile from the school. Assume that it is reasonable to regard the teen drivers in this study as representative of the population of teen drivers. MaleDriver FemaleDriver 1.4 -0.2 1.2 0.5 0.9 1.1 2.1 0.7 0.7 1.1 1.3 1.2 3 0.1 1.3 0.9 0.6 0.5 2.1 0.5 (a) Use a .01 level of significance for any hypothesis tests. Data consistent with summary quantities appearing in the paper are given in the table. The measurements represent the difference between the observed vehicle speed and the posted speed limit (in miles per hour) for a sample of male teenage drivers and a sample of female teenage drivers. (Use ?males − ?females. Round your test statistic to two decimal places. Round your degrees of freedom down to the nearest whole number. Round your p-value to three decimal places.) t = df =…arrow_forwardA paper investigated the driving behavior of teenagers by observing their vehicles as they left a high school parking lot and then again at a site approximately 1 2 mile from the school. Assume that it is reasonable to regard the teen drivers in this study as representative of the population of teen drivers. MaleDriver FemaleDriver 1.3 -0.3 1.3 0.6 0.9 1.1 2.1 0.7 0.7 1.1 1.3 1.2 3 0.1 1.3 0.9 0.6 0.5 2.1 0.5 (a) Use a .01 level of significance for any hypothesis tests. Data consistent with summary quantities appearing in the paper are given in the table. The measurements represent the difference between the observed vehicle speed and the posted speed limit (in miles per hour) for a sample of male teenage drivers and a sample of female teenage drivers. (Use ?males − ?females. Round your test statistic to two decimal places. Round your degrees of freedom down to the nearest whole number. Round your p-value to three decimal places.) t = df =…arrow_forward
- A study was conducted to determine whether big-city and small-town dwellers differed in their helpfulness to strangers. In the study, the investigators rang the doorbells of strangers living in Toronto or small towns in the vicinity. They explained they had misplaced the address of a friend living in the neighborhood and asked to use the phone. The following data show the number of individuals who admitted or did not admit the strangers (the investigators) into their homes: Admitted strangersinto their home Did not admit strangersinto their home Big-city dweller 60 90 Small-town dweller 70 30 Conduct a chi-squared test to examine whether big-city dwellers differ in their helpfulness to strangers. Which of the following is/are true about the result of the test? A. The obtained chi-squared test statistic is 21.6346. B. The obtained pp-value is approximately 0. C. The obtained chi-squared test statistic is 8.450. D. The obtained…arrow_forwardWolak, Mitchell, and Finkelhor (2002) used a survey of 1,501 adolescents to examine online relationships. The results showed that 14% reported close online friendships during the past year, 7% reported face-to-face meetings with online friends, and 2% reported romantic online relationships. Is this an example of a research design?arrow_forwardA 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. The sociologist decides to use his introductory sociology class to conduct the survey. If the survey is not representative of the freshmen at the university, the conclusions from the study are likely to be: on target. biased. overefficient. None of the answer options is correct.arrow_forward
- In this same passage, what is the explanatory variable and is it categorical or quantitative?arrow_forward. The spotlight effect refers to overestimating the extent to which others notice your appearance or behavior, especially when you commit a social faux pas. Effectively, you feel as if you are suddenly standing in a spotlight with everyone In one demonstration of this phenomenon, Gilovich, Medvec, and Savitsky (2000) asked college students to put on a Barry Manilow T-shirt that fellow students had previously judged to be embarrassing. The participants were then led into a room in which other students were already participating in an experiment. After a few minutes, the participant was led back out of the room and was allowed to remove the shirt. Later, each participant was asked to estimate how many people in the room had noticed the shirt. The individuals who were in the room were also asked whether they noticed the shirt. In the study, the participants significantly overestimated the actual number of people who had noticed. In a similar study using a sample of n = 9 participants,…arrow_forwardAccording to the February 2008 Federal Trade Commission report on consumerfraud and identity theft, 23% of all complaints in 2007 were for identity theft. Inthat year, Arkansas had 1,601 complaints of identity theft out of 3,482 consumercomplaints ("Consumer fraud and," 2008). Does this data provide enoughevidence to show that Arkansas had a higher proportion of identity theft than23%? Test at the 5% level.arrow_forward
- b) Does a pollster's gender have an effect on poll responses by men? A U.S. News & World Report article about polls stated: "On sensitive issues, people tend to give 'acceptable' rather than honest responses; their answers may depend on the gender or race of the interviewer." To support that claim, data were provided for an Eagleton Institute poll in which surveyed men were asked if they agreed with this statement: "Abortion is a private matter that should be left to the woman to decide without government intervention." We will analyze the effect of gender on male survey subjects only. Table is based on the responses of surveyed men. Gender of Interviewers Women 308 92 Men 560 Men who agree Men who disagree 240 Assume that the survey was designed so that male interviewers were instructed to obtain 800 responses from male subjects, and female interviewers were instructed to obtain 400 responses from male subjects. Using a 0.05 significance level, test the claim that the proportions of…arrow_forwardIn the Chapter Preview we presented a study showing that handling money reduces the perception pain (Zhou, Vohs, & Baumeister, 2009). In the experiment, a group of college students was told that they were participating in a manual dexterity study. Half of the students were given a stack of money to count and the other half got a stack of blank pieces of paper. After the counting task, the participants were asked to dip their hands into bowls of very hot water (122°F) and rate how uncomfortable it was. The following data show ratings of pain similar to the results obtained in the study. Counting Money Counting Paper 7 9 8 11 10 13 6 10 8 11 5 9 7 15 12 14 5 10 Is there a significant difference in reported pain between the two conditions? Use a two-tailed test with α = .01. Compute Cohen’s d to estimate the size of the treatment effect.arrow_forwardJust need work shown. :)arrow_forward
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