A team of researchers analyzed the meat from each in a sample of 19 \"red snappe

Question

A team of researchers analyzed the meat from each in a sample of 19 "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 6 of the 19 fillets (or 32%) 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 p, the true proportion 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. O A. It is inappropriate because the sampling distribution is approximately normal. O B. It is inappropriate because the expected probability of success is 0.32. ° C. 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. CD. It is inappropriate because either the number of successes in the sample or the number of failures in the sample is less than 15. c Construct a 90% confidence interval for the parameter of interest using Wilson's adjustment The 90% confidence interval is (DD (Round to three decimal places as needed.)

Explanation / Answer

c) here for Wilson method we add 2 in success and 4 in total therefore:

90% confidence interval =0.184 ; 0.511

                                                                                           x                    =   8 sample size n                    = 23 sample proportion     p x/n= 0.3478 std error       =Se            =(p*(1-p)/n) = 0.0993 for 90 % CI value of z= 1.6449 margin of error E=z*std error                            = 0.163 lower confidence bound=sample proportion-margin of error 0.184 Upper confidence bound=sample proportion+margin of error 0.511

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