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?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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.
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning