18. A credit card company claims that the mean time the hold is 3.5 minutes. An employee of this company believes that customers spend more than 3.5 minutes on hold. A random sample of n = 36 calls is selected and the mean time the customers in this sample spent on hold was 5.15 minutes. All conditions for inference were met and the p-value for the appropriate hypothesis test was 0.031. Which of the following statements is the best interpretation of the p-value?

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
18. A credit card company claims that the mean time the customers spend on
hold is 3.5 minutes. An employee of this company believes that customers
spend more than 3.5 minutes on hold. A random sample of n = 36 calls is
selected and the mean time the customers in this sample spent on hold was
5.15 minutes. All conditions for inference were met and the p-value for the
appropriate hypothesis test was 0.031. Which of the following statements is the
best interpretation of the p-value?
(A) There is a 0.031 probability that the alternative hypothesis is true.
(B) There is a 0.031 probability that the null hypothesis is true.
(C) If the null hypothesis is true, there is a 0.031 probability of finding convincing
evidence that 5.15 minutes is greater than 3.5 minutes.
(D) If the null hypothesis is true, the probability of finding convincing evidence that the
null hypothesis is true is 0.031.
(E) If the null hypothesis is true, the probability of observing a sample mean of at least
5.15 minutes is 0.031.
Transcribed Image Text:18. A credit card company claims that the mean time the customers spend on hold is 3.5 minutes. An employee of this company believes that customers spend more than 3.5 minutes on hold. A random sample of n = 36 calls is selected and the mean time the customers in this sample spent on hold was 5.15 minutes. All conditions for inference were met and the p-value for the appropriate hypothesis test was 0.031. Which of the following statements is the best interpretation of the p-value? (A) There is a 0.031 probability that the alternative hypothesis is true. (B) There is a 0.031 probability that the null hypothesis is true. (C) If the null hypothesis is true, there is a 0.031 probability of finding convincing evidence that 5.15 minutes is greater than 3.5 minutes. (D) If the null hypothesis is true, the probability of finding convincing evidence that the null hypothesis is true is 0.031. (E) If the null hypothesis is true, the probability of observing a sample mean of at least 5.15 minutes is 0.031.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 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