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 %3D H1:p # 0.5 (Type integers or decimals. Do not round.) Identify the test statistic. z= - 2.64 (Round to two decimal places as needed.) Identify the P-value. P-value = (Round to three decimal places as needed.)

MATLAB: An Introduction with Applications
6th Edition
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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**Experiment Overview:**

At the age of 9, a girl conducted a science fair experiment to test if professional touch therapists could sense her energy field. In her experiment, she flipped a coin to choose either her right or left hand randomly, then asked the therapists to identify the selected hand by placing their hand just under hers without seeing or touching it. The experiment was repeated for 241 trials, with the touch therapists making 100 correct guesses.

**Statistical Analysis:**

The purpose is to test the hypothesis that touch therapists use a method equivalent to random guessing.

- **Let \( p \) denote the population proportion of correct hand selections by touch therapists.**

**Hypotheses:**

- **Null Hypothesis (\( H_0 \)):** \( p = 0.5 \) (Indicating random guessing)
- **Alternative Hypothesis (\( H_1 \)):** \( p \neq 0.5 \) 

(Values are given as integers or decimals without rounding.)

**Analysis Details:**

- **Test Statistic:**

  \[
  z = -2.64 
  \]

  (Rounded to two decimal places as necessary.)

- **P-value:**

  A box is provided to enter the P-value, which needs rounding to three decimal places. 

The graph or diagram consists of a structured layout of statistical information leading to the conclusion about the effectiveness of touch therapists based on their ability to sense the energy field, comparing their performance to random guessing.
Transcribed Image Text:**Experiment Overview:** At the age of 9, a girl conducted a science fair experiment to test if professional touch therapists could sense her energy field. In her experiment, she flipped a coin to choose either her right or left hand randomly, then asked the therapists to identify the selected hand by placing their hand just under hers without seeing or touching it. The experiment was repeated for 241 trials, with the touch therapists making 100 correct guesses. **Statistical Analysis:** The purpose is to test the hypothesis that touch therapists use a method equivalent to random guessing. - **Let \( p \) denote the population proportion of correct hand selections by touch therapists.** **Hypotheses:** - **Null Hypothesis (\( H_0 \)):** \( p = 0.5 \) (Indicating random guessing) - **Alternative Hypothesis (\( H_1 \)):** \( p \neq 0.5 \) (Values are given as integers or decimals without rounding.) **Analysis Details:** - **Test Statistic:** \[ z = -2.64 \] (Rounded to two decimal places as necessary.) - **P-value:** A box is provided to enter the P-value, which needs rounding to three decimal places. The graph or diagram consists of a structured layout of statistical information leading to the conclusion about the effectiveness of touch therapists based on their ability to sense the energy field, comparing their performance to random guessing.
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