MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
Bartleby Related Questions Icon

Related questions

Question
100%
**Understanding an Experiment on Touch Therapists and Energy Field Detection**

When she was 9 years old, a girl conducted a science fair experiment to evaluate whether professional touch therapists could sense her energy field. This experiment involved flipping a coin to randomly choose either her right hand or left hand. The therapists were then asked to identify the chosen hand by placing their hand just below hers without being able to see or touch it directly. 

In total, there were 241 trials conducted, and the touch therapists correctly identified the selected hand in 100 of those trials. To assess if the touch therapists' ability was equivalent to random guessing, a significance level of 0.05 was used in the analysis. This raises the question: Are touch therapists effective based on these trial results?

**Hypotheses Identification**

To statistically test the claim regarding the effectiveness of touch therapists, we define \( p \) as the population proportion of correct hand selections by the therapists.

- Null Hypothesis (\( H_0 \)): \( p = 0.5 \)
- Alternative Hypothesis (\( H_1 \)): \( p \neq 0.5 \)

This set of hypotheses will help determine if the observed results are statistically different from random guessing.

**Test Statistic Calculation**

To evaluate the hypothesis, calculate the test statistic \( z \) using the given data. This value will be rounded to two decimal places as needed for further analysis.
expand button
Transcribed Image Text:**Understanding an Experiment on Touch Therapists and Energy Field Detection** When she was 9 years old, a girl conducted a science fair experiment to evaluate whether professional touch therapists could sense her energy field. This experiment involved flipping a coin to randomly choose either her right hand or left hand. The therapists were then asked to identify the chosen hand by placing their hand just below hers without being able to see or touch it directly. In total, there were 241 trials conducted, and the touch therapists correctly identified the selected hand in 100 of those trials. To assess if the touch therapists' ability was equivalent to random guessing, a significance level of 0.05 was used in the analysis. This raises the question: Are touch therapists effective based on these trial results? **Hypotheses Identification** To statistically test the claim regarding the effectiveness of touch therapists, we define \( p \) as the population proportion of correct hand selections by the therapists. - Null Hypothesis (\( H_0 \)): \( p = 0.5 \) - Alternative Hypothesis (\( H_1 \)): \( p \neq 0.5 \) This set of hypotheses will help determine if the observed results are statistically different from random guessing. **Test Statistic Calculation** To evaluate the hypothesis, calculate the test statistic \( z \) using the given data. This value will be rounded to two decimal places as needed for further analysis.
Expert Solution
Check Mark
Knowledge Booster
Background pattern image
Similar questions
SEE MORE QUESTIONS
Recommended textbooks for you
Text book image
MATLAB: An Introduction with Applications
Statistics
ISBN:9781119256830
Author:Amos Gilat
Publisher:John Wiley & Sons Inc
Text book image
Probability and Statistics for Engineering and th...
Statistics
ISBN:9781305251809
Author:Jay L. Devore
Publisher:Cengage Learning
Text book image
Statistics for The Behavioral Sciences (MindTap C...
Statistics
ISBN:9781305504912
Author:Frederick J Gravetter, Larry B. Wallnau
Publisher:Cengage Learning
Text book image
Elementary Statistics: Picturing the World (7th E...
Statistics
ISBN:9780134683416
Author:Ron Larson, Betsy Farber
Publisher:PEARSON
Text book image
The Basic Practice of Statistics
Statistics
ISBN:9781319042578
Author:David S. Moore, William I. Notz, Michael A. Fligner
Publisher:W. H. Freeman
Text book image
Introduction to the Practice of Statistics
Statistics
ISBN:9781319013387
Author:David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:W. H. Freeman