A team of researchers analyzed the meat from each in a sample of 17 "red snapper" fish fillets purchased from vendors across a region in an effort estimate the true proportion of fillets that are really red snapper. DNA tests revealed that 5 of the 17 fillets (or 29%) were not red snapper but the cheaper look-alike variety of fish. Complete parts a through d. a. Identify the parameter of interest to the researchers. The parameter of interest is the C of fish fillets that are actually red snapper. b. Explain why a large-sample confidence interval is inappropriate to apply in this study. Choose the correct answer below. OA. It is inappropriate because either the number of successes in the sample or the number of failures in the sample is less than 15. OB. It is inappropriate because the sampling distribution is approximately normal. OC. It is inappropriate because the expected probability of success is 0.29. OD. It is inappropriate because either the number of successes in the sample or the number of failures in the sample is greater than or equal to 15. c. Construct a 95% confidence interval for the parameter of interest using Wilson's adjustment. The 95% confidence interval is. (Round to three decimal places as needed.) d. Give a practical interpretation of the confidence interval. With confidence, the interval found in part c contains the true value of

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 8PPS
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A team of researchers analyzed the meat from each in a sample of 17 "red snapper" fish fillets purchased from vendors across region in an effort estimate the true proportion of fillets that are really
red snapper. DNA tests revealed that 5 of the 17 fillets (or 29%) were not red snapper but the cheaper look-alike variety of fish. Complete parts a through d.
a. Identify the parameter of interest to the researchers.
The parameter of interest is
the
of fish fillets that are actually red snapper.
b. Explain why a large-sample confidence interval is inappropriate to apply in this study. Choose the correct answer below.
OA. It is inappropriate because either the number of successes in the sample or the number of failures in the sample is less than 15.
OB. It is inappropriate because the sampling distribution is approximately normal.
OC. It is inappropriate because the expected probability of success is 0.29.
OD. It is inappropriate because either the number of successes in the sample or the number of failures in the sample is greater than or equal to 15.
C
c. Construct a 95% confidence interval for the parameter of interest using Wilson's adjustment.
The 95% confidence interval is.
(Round to three decimal places as needed.)
d. Give a practical interpretation of the confidence interval.
With
% confidence, the interval found in part c contains the true value of
▼
Transcribed Image Text:A team of researchers analyzed the meat from each in a sample of 17 "red snapper" fish fillets purchased from vendors across region in an effort estimate the true proportion of fillets that are really red snapper. DNA tests revealed that 5 of the 17 fillets (or 29%) were not red snapper but the cheaper look-alike variety of fish. Complete parts a through d. a. Identify the parameter of interest to the researchers. The parameter of interest is the of fish fillets that are actually red snapper. b. Explain why a large-sample confidence interval is inappropriate to apply in this study. Choose the correct answer below. OA. It is inappropriate because either the number of successes in the sample or the number of failures in the sample is less than 15. OB. It is inappropriate because the sampling distribution is approximately normal. OC. It is inappropriate because the expected probability of success is 0.29. OD. It is inappropriate because either the number of successes in the sample or the number of failures in the sample is greater than or equal to 15. C c. Construct a 95% confidence interval for the parameter of interest using Wilson's adjustment. The 95% confidence interval is. (Round to three decimal places as needed.) d. Give a practical interpretation of the confidence interval. With % confidence, the interval found in part c contains the true value of ▼
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