The Virginia Department of Environmental Quality (VDEQ) uses probabilistic monitoring to regulate the water quality of streams in the Commonwealth of Virginia. Of the 85 Eastern Virginia Sites (group 1), 15 do not meet minimum requirements. Of the 80 units sampled in Western Virginia Sites (group 2), 21 do not meet minimum requirements. Assume the data can be treated as independent simple random samples. (a) State the null and alternative hypotheses in order to determine whether the proportions of streams that fail to meet minimum requirements in the two areas are equal or not. (b) Calculate the value of the test statistic z. (c) Determine the P-value associated with this observed value of z and draw the conclusion about the hypotheses using a=0.01.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Topic Video
Question
The Virginia Department of Environmental Quality (VDEQ) uses probabilistic
monitoring to regulate the water quality of streams in the Commonwealth of Virginia. Of the 85
Eastern Virginia Sites (group 1), 15 do not meet minimum requirements. Of the 80 units sampled
in Western Virginia Sites (group 2), 21 do not meet minimum requirements. Assume the data can
be treated as independent simple random samples.
(a) State the null and alternative hypotheses in order to determine whether the proportions of
streams that fail to meet minimum requirements in the two areas are equal or not.
(b) Calculate the value of the test statistic z.
(c) Determine the P-value associated with this observed value of z and draw the conclusion
about the hypotheses using a-0.01.
Transcribed Image Text:The Virginia Department of Environmental Quality (VDEQ) uses probabilistic monitoring to regulate the water quality of streams in the Commonwealth of Virginia. Of the 85 Eastern Virginia Sites (group 1), 15 do not meet minimum requirements. Of the 80 units sampled in Western Virginia Sites (group 2), 21 do not meet minimum requirements. Assume the data can be treated as independent simple random samples. (a) State the null and alternative hypotheses in order to determine whether the proportions of streams that fail to meet minimum requirements in the two areas are equal or not. (b) Calculate the value of the test statistic z. (c) Determine the P-value associated with this observed value of z and draw the conclusion about the hypotheses using a-0.01.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Means
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman