flipped a coin to select either her right hand or her left hand, and then she asked the therapists to identify the selected hand by placing their hand just under her hand without seeing it and without touching it. Among 241 trials, the touch therapists were correct 100 times. Use a 0.05 significance level to test the claim that touch therapists use a method equivalent to random guesses. Do the results suggest that touch therapists are effective? .... Let p denote the population proportion of correct hand selections by touch therapists. Identify the null and alternative hypotheses to test the claim that touch therapists use a method equivalent to random guesses. Ho: p = 0.5 H,:p + 0.5 (Type integers or decimals. Do not round.) Identify the test statistic. (Round to two decimal places as needed.)
flipped a coin to select either her right hand or her left hand, and then she asked the therapists to identify the selected hand by placing their hand just under her hand without seeing it and without touching it. Among 241 trials, the touch therapists were correct 100 times. Use a 0.05 significance level to test the claim that touch therapists use a method equivalent to random guesses. Do the results suggest that touch therapists are effective? .... Let p denote the population proportion of correct hand selections by touch therapists. Identify the null and alternative hypotheses to test the claim that touch therapists use a method equivalent to random guesses. Ho: p = 0.5 H,:p + 0.5 (Type integers or decimals. Do not round.) Identify the test statistic. (Round to two decimal places as needed.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
100%

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

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images

Recommended textbooks for you

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON

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
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman