Researchers in education are performing a study to see if listening to soothing music while taking a standardized math test increases the mean test score. The hypotheses are Ho: µ = 79 versus Ha: u > 79, and the p-value for the hypothesis test was 0.035. %3D Which of the following is the best interpretation of this p-value? o If listening to soothing music has no effect on the mean test score, the probability of obtaining the observed mean test score or something larger is 0.035. o If listening to soothing music increases the mean test score, the probability of obtaining the observed mean test score or something larger is 0.035. O There is a 3.5% chance that listening to soothing music has no effect on the mean test score. o There is a 3.5% chance that listening to soothing music increases the mean test score.

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
**Study on the Impact of Soothing Music on Test Performance**

Researchers in education are performing a study to determine if listening to soothing music while taking a standardized math test increases the mean test score. The hypotheses are:

- \( H_0: \mu = 79 \) (Null Hypothesis: The mean test score is 79)
- \( H_a: \mu > 79 \) (Alternative Hypothesis: The mean test score is greater than 79)

The *p-value* for the hypothesis test was 0.035.

**Question: Which of the following is the best interpretation of this *p-value*?**

- If listening to soothing music has no effect on the mean test score, the probability of obtaining the observed mean test score or something larger is 0.035.
- If listening to soothing music increases the mean test score, the probability of obtaining the observed mean test score or something larger is 0.035.
- There is a 3.5% chance that listening to soothing music has no effect on the mean test score.
- There is a 3.5% chance that listening to soothing music increases the mean test score.
Transcribed Image Text:**Study on the Impact of Soothing Music on Test Performance** Researchers in education are performing a study to determine if listening to soothing music while taking a standardized math test increases the mean test score. The hypotheses are: - \( H_0: \mu = 79 \) (Null Hypothesis: The mean test score is 79) - \( H_a: \mu > 79 \) (Alternative Hypothesis: The mean test score is greater than 79) The *p-value* for the hypothesis test was 0.035. **Question: Which of the following is the best interpretation of this *p-value*?** - If listening to soothing music has no effect on the mean test score, the probability of obtaining the observed mean test score or something larger is 0.035. - If listening to soothing music increases the mean test score, the probability of obtaining the observed mean test score or something larger is 0.035. - There is a 3.5% chance that listening to soothing music has no effect on the mean test score. - There is a 3.5% chance that listening to soothing music increases the mean test score.
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