Solution Found!
Let X and Y equal the hardness of the hot and cold water,
Chapter 7, Problem 12E(choose chapter or problem)
An environmental survey contained a question asking what respondents thought was the major cause of air pollution in this country, giving the choices “automobiles,” “factories,” and “incinerators.” Two versions of the test, \(A\) and \(B\), were used. Let \(p_{A}\) and \(p_{B}\) be the respective proportions of people using forms \(A\) and \(B\) who select “factories.” If 170 out of 460 people who used version \(A\) chose “factories” and 141 out of 440 people who used version \(B\) chose “factories,”
(a) Find a \(95 \%\) confidence interval for \(p_{A}-p_{B}\).
(b) Do the versions seem to be consistent concerning this answer? Why or why not?
Equation Transcription:
Text Transcription:
A
B
p_A
p_B
p_A-p_B
Questions & Answers
QUESTION:
An environmental survey contained a question asking what respondents thought was the major cause of air pollution in this country, giving the choices “automobiles,” “factories,” and “incinerators.” Two versions of the test, \(A\) and \(B\), were used. Let \(p_{A}\) and \(p_{B}\) be the respective proportions of people using forms \(A\) and \(B\) who select “factories.” If 170 out of 460 people who used version \(A\) chose “factories” and 141 out of 440 people who used version \(B\) chose “factories,”
(a) Find a \(95 \%\) confidence interval for \(p_{A}-p_{B}\).
(b) Do the versions seem to be consistent concerning this answer? Why or why not?
Equation Transcription:
Text Transcription:
A
B
p_A
p_B
p_A-p_B
ANSWER:
Step 1 of 5
Given:
X and Y are the hardness of the hot and cold water, respectively, in a campus building.
The sample size of X is 
The sample size of Y is 