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_forward]14. Many animals, including humans, tend to avoid direct eye contact and even patterns that look like eyes. Some insects, including moths, have evolved eye-spot patterns on their wings to help ward off predators. Scaife (1976) reports a study examining how eye-spot patterns affect the behaviour of birds. In the study, the birds were tested in a box with two chambers and were free to move from one chamber to another. In one chamber, two large eye-spots were painted on one wall. The other chamber had plain walls. The researcher recorded the amount of time each bird spent in the plain chamber during a 60-minute session. Suppose the study produced a mean of M 34.5 minutes on the plain chamber with SS = 210 for a sample of n = 15 birds. (Now: If the eye spots have no effect. then the birds should spend an average of u = 30 minutes in each chamber.) a. Is this sample sufficient to conclude that the eyes pots have a significant influence on the bird's behaviour? Ike a two-tailed test with…arrow_forwardA 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_forward
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