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.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 2E
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
  • SEE MORE QUESTIONS
Recommended textbooks for you
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning