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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What is the Test statistic and what is the p-value
### Identifying Hypotheses in Statistical Testing

#### Context:
In a study of cell phone usage and brain hemispheric dominance, an Internet survey was emailed to 6975 subjects randomly selected from an online group involved with ears. There were 1291 surveys returned. You are to use a 0.01 significance level to test the claim that the return rate is less than 20%. Use the P-value method and utilize the normal distribution as an approximation to the binomial distribution.

#### Task:
Identify the null hypothesis and the alternative hypothesis from the given options.

#### Options:

- **A.**  
  \( H_0: p < 0.2 \)  
  \( H_1: p = 0.2 \)

- **B.**  
  \( H_0: p = 0.2 \)  
  \( H_1: p > 0.2 \)

- **C.**  
  \( H_0: p = 0.2 \)  
  \( H_1: p < 0.2 \)

- **D.**  
  \( H_0: p > 0.2 \)  
  \( H_1: p = 0.2 \)

- **E.**  
  \( H_0: p = 0.2 \)  
  \( H_1: p \neq 0.2 \)

- **F.**  
  \( H_0: p \neq 0.2 \)  
  \( H_1: p = 0.2 \)
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Transcribed Image Text:### Identifying Hypotheses in Statistical Testing #### Context: In a study of cell phone usage and brain hemispheric dominance, an Internet survey was emailed to 6975 subjects randomly selected from an online group involved with ears. There were 1291 surveys returned. You are to use a 0.01 significance level to test the claim that the return rate is less than 20%. Use the P-value method and utilize the normal distribution as an approximation to the binomial distribution. #### Task: Identify the null hypothesis and the alternative hypothesis from the given options. #### Options: - **A.** \( H_0: p < 0.2 \) \( H_1: p = 0.2 \) - **B.** \( H_0: p = 0.2 \) \( H_1: p > 0.2 \) - **C.** \( H_0: p = 0.2 \) \( H_1: p < 0.2 \) - **D.** \( H_0: p > 0.2 \) \( H_1: p = 0.2 \) - **E.** \( H_0: p = 0.2 \) \( H_1: p \neq 0.2 \) - **F.** \( H_0: p \neq 0.2 \) \( H_1: p = 0.2 \)
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