(Optional topic) Drug-detecting rats? Dogs are bigand expensive. Rats are small and cheap. Might rats betrained to replace dogs in sniffing out illegal drugs?first study of this idea trained rats to rear up on theirhind legs when they smelled simulated cocaine. Tosee how well rats performed after training, they werelet loose on a surface with many cups sunk in it, oneof which contained simulated cocaine. Four out of sixtrained rats succeeded in 80 out of 80 trials.5 Howshould we estimate the long-term success rate p of arat that succeeds in every one of 80 trials?(a) What is the rat's sample proportion p? What is thelarge-sample 95% confidence interval for p? It'snot plausible that the rat will always be successful,as this interval says.

Given: Population size, n = 80 Sample size, x = 80 Sample proportion, p^: p^=8080=1

Answered: (a) What is the rat's sample proportion…

(a) What is the rat's sample proportion p? What is the large-sample 95% confidence interval for p? It's not plausible that the rat will always be successful, as this interval says.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 10CYU

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Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

(Optional topic) Drug-detecting rats? Dogs are big
and expensive. Rats are small and cheap. Might rats be
trained to replace dogs in sniffing out illegal drugs?
first study of this idea trained rats to rear up on their
hind legs when they smelled simulated cocaine. To
see how well rats performed after training, they were
let loose on a surface with many cups sunk in it, one
of which contained simulated cocaine. Four out of six
trained rats succeeded in 80 out of 80 trials.5 How
should we estimate the long-term success rate p of a
rat that succeeds in every one of 80 trials?
(a) What is the rat's sample proportion p? What is the
large-sample 95% confidence interval for p? It's
not plausible that the rat will always be successful,
as this interval says.

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