## Related questions with answers

Are you really being served red snapper? Refer to the Nature (July 15, 2004) study of fish 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.

Explain why a large-sample confidence interval is inappropriate to apply in this study.

Solution

VerifiedGiven:

$\begin{aligned} n&=\text{Sample size}=22 \\ x&=\text{Number of successes}=17 \\ \tilde{p}&=\text{Sample proportion}=77\%=0.77 \\ c&=\text{Confidence level}=95\%=0.95 \end{aligned}$

The sample size is large enough, if $n\tilde{p}\geq 15$ and $n\tilde{q}=n(1-\tilde{p})\geq 15$.

## Create a free account to view solutions

## Create a free account to view solutions

## Recommended textbook solutions

#### Statistical Techniques in Business and Economics

15th Edition•ISBN: 9780073401805 (11 more)Douglas A. Lind, Samuel A. Wathen, William G. Marchal#### Statistics for Business and Economics

14th Edition•ISBN: 9781337901062 (1 more)David R. Anderson, Dennis J. Sweeney, James J Cochran, Jeffrey D. Camm, Thomas A. Williams#### Cambridge IGCSE Business Studies

4th Edition•ISBN: 9781444176582Karen Borrington, Peter Stimpson## More related questions

- discrete math

1/4

- discrete math

1/7