MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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**Experiment Description:**

In a science fair project, Emily conducted an experiment to test if professional touch therapists could sense her energy field. She used a coin flip to decide if therapists should identify her right or left hand. The therapists placed their hand just under Emily's hand without seeing or touching it. Out of 357 trials, the therapists were correct 169 times. The tasks below include calculations based on the experiment's results.

**Questions and Explanations:**

a. What is the expected probability therapists identify the correct hand by chance?
- **Answer:** 0.5 (Type an integer or a decimal. Do not round.)

b. Using Emily's sample results, what is the best point estimate of the therapists' success rate?
- **Answer:** 0.473 (Round to three decimal places as needed.)

c. Using Emily's sample results, construct a 90% confidence interval estimate of the proportion of correct responses made by touch therapists.
- **Provide Range:** □ < p < □ (Round to three decimal places as needed.)

In part (b), the point estimate (0.473) is calculated as the ratio of correct identifications (169) to total trials (357).

In part (c), a confidence interval estimation seeks to determine the range within which the true proportion of correct responses might lie, based on the sample results and given confidence level.
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Transcribed Image Text:**Experiment Description:** In a science fair project, Emily conducted an experiment to test if professional touch therapists could sense her energy field. She used a coin flip to decide if therapists should identify her right or left hand. The therapists placed their hand just under Emily's hand without seeing or touching it. Out of 357 trials, the therapists were correct 169 times. The tasks below include calculations based on the experiment's results. **Questions and Explanations:** a. What is the expected probability therapists identify the correct hand by chance? - **Answer:** 0.5 (Type an integer or a decimal. Do not round.) b. Using Emily's sample results, what is the best point estimate of the therapists' success rate? - **Answer:** 0.473 (Round to three decimal places as needed.) c. Using Emily's sample results, construct a 90% confidence interval estimate of the proportion of correct responses made by touch therapists. - **Provide Range:** □ < p < □ (Round to three decimal places as needed.) In part (b), the point estimate (0.473) is calculated as the ratio of correct identifications (169) to total trials (357). In part (c), a confidence interval estimation seeks to determine the range within which the true proportion of correct responses might lie, based on the sample results and given confidence level.
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