22. Researchers investigated whether a new process for producing yarn could reduce the mean amount of volatile organic compounds (VOCS) emitted by carpet. From random samples of carpets, the researchers found the mean reduction of VOCS emitted by carpets made with yarn produced by the new process compared with that of carpets made with yarn produced by the traditional process was 13 parts per million (ppm). All conditions for inference were met, and the p-value for the appropriate hypothesis test was 0.095. Which of the following statements is the best interpretation of the p-value? (A) The probability that the null hypothesis is true is 0.095. (B) The probability that the alternative hypothesis is true is 0.095. (C) The probability of observing a mean reduction of 13 ppm is 0.095. (D) If the null hypothesis is true, the probability of observing a mean reduction of at least 13 ppm is 0.095. (E) If the null hypothesis is true, the probability of observing a mean reduction of at most 13 ppm is 0.095.

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
Question
22. Researchers investigated whether a new process for producing yarn could reduce the mean amount of volatile
organic compounds (VOCS) emitted by carpet. From random samples of carpets, the researchers found the
mean reduction of VOCS emitted by carpets made with yarn produced by the new process compared with that
of carpets made with yarn produced by the traditional process was 13 parts per million (ppm). All conditions
for inference were met, and the p-value for the appropriate hypothesis test was 0.095. Which of the following
statements is the best interpretation of the p-value?
(A) The probability that the null hypothesis is true is 0.095.
(B) The probability that the alternative hypothesis is true is 0.095.
(C) The probability of observing a mean reduction of 13 ppm is 0.095.
(D) If the null hypothesis is true, the probability of observing a mean reduction of at least 13 ppm is 0.095.
(E) If the null hypothesis is true, the probability of observing a mean reduction of at most 13 ppm is 0.095.
Transcribed Image Text:22. Researchers investigated whether a new process for producing yarn could reduce the mean amount of volatile organic compounds (VOCS) emitted by carpet. From random samples of carpets, the researchers found the mean reduction of VOCS emitted by carpets made with yarn produced by the new process compared with that of carpets made with yarn produced by the traditional process was 13 parts per million (ppm). All conditions for inference were met, and the p-value for the appropriate hypothesis test was 0.095. Which of the following statements is the best interpretation of the p-value? (A) The probability that the null hypothesis is true is 0.095. (B) The probability that the alternative hypothesis is true is 0.095. (C) The probability of observing a mean reduction of 13 ppm is 0.095. (D) If the null hypothesis is true, the probability of observing a mean reduction of at least 13 ppm is 0.095. (E) If the null hypothesis is true, the probability of observing a mean reduction of at most 13 ppm is 0.095.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Similar questions
  • SEE MORE 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