In a study of cell phone usage and brain hemispheric dominance, an Internet survey was e-mailed to 6963 subjects randomly selected from an online group inwolved with ears. There were 1321 surveys returned. Use a 0.01 significance level to test the claim that the return rate is less than 20%. Use the P-value method and use the normal distribution as an approximation to the binomial distribution.

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### Study of Cell Phone Usage and Brain Hemispheric Dominance

In a study of cell phone usage and brain hemispheric dominance, an Internet survey was e-mailed to 6963 subjects randomly selected from an online group involved with ears. There were 1321 surveys returned. Use a 0.01 significance level to test the claim that the return rate is less than 20%. Use the P-value method and use the normal distribution as an approximation to the binomial distribution.

#### Identifying the Null Hypothesis and Alternative Hypothesis

- **Option A:**
  - \(H_0\): \( p > 0.2 \)
  - \(H_1\): \( p = 0.2 \)

- **Option B:**
  - \(H_0\): \( p = 0.2 \)
  - \(H_1\): \( p \neq 0.2 \)
  
- **Option C:**
  - \(H_0\): \( p = 0.2 \)
  - \(H_1\): \( p > 0.2 \)

- **Option D:**
  - \(H_0\): \( p < 0.2 \)
  - \(H_1\): \( p = 0.2 \)

- **Option E:**
  - \(H_0\): \( p = 0.2 \)
  - \(H_1\): \( p < 0.2 \)
  - (Correct Answer is selected)

- **Option F:**
  - \(H_0\): \( p \neq 0.2 \)
  - \(H_1\): \( p = 0.2 \)

The correct option here is **Option E**, where the null hypothesis \( H_0 \) is \( p = 0.2 \) and the alternative hypothesis \( H_1 \) is \( p < 0.2 \). This setup aligns with testing the claim that the return rate is less than 20% using a 0.01 significance level.
Transcribed Image Text:### Study of Cell Phone Usage and Brain Hemispheric Dominance In a study of cell phone usage and brain hemispheric dominance, an Internet survey was e-mailed to 6963 subjects randomly selected from an online group involved with ears. There were 1321 surveys returned. Use a 0.01 significance level to test the claim that the return rate is less than 20%. Use the P-value method and use the normal distribution as an approximation to the binomial distribution. #### Identifying the Null Hypothesis and Alternative Hypothesis - **Option A:** - \(H_0\): \( p > 0.2 \) - \(H_1\): \( p = 0.2 \) - **Option B:** - \(H_0\): \( p = 0.2 \) - \(H_1\): \( p \neq 0.2 \) - **Option C:** - \(H_0\): \( p = 0.2 \) - \(H_1\): \( p > 0.2 \) - **Option D:** - \(H_0\): \( p < 0.2 \) - \(H_1\): \( p = 0.2 \) - **Option E:** - \(H_0\): \( p = 0.2 \) - \(H_1\): \( p < 0.2 \) - (Correct Answer is selected) - **Option F:** - \(H_0\): \( p \neq 0.2 \) - \(H_1\): \( p = 0.2 \) The correct option here is **Option E**, where the null hypothesis \( H_0 \) is \( p = 0.2 \) and the alternative hypothesis \( H_1 \) is \( p < 0.2 \). This setup aligns with testing the claim that the return rate is less than 20% using a 0.01 significance level.
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