In a study of cell phone usage and brain hemispheric dominance, an Internet survey was e-mailed to 6972 subjects randomly selected from an online group involved with ears. There were 1329 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. O A. Ho: p#0.2 O B. Ho: p= 0.2 H:p>0.2 H1:p=0.2 O D. Ho: p=0.2 H:p#0.2 c. Ho: p=0.2 H:p<0.2 O F. Ho: p>0.2 Ho:p<0.2 H:p=0.2 H:p=0.2 The test statistic is z =

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**Title: Understanding Hypothesis Testing in Survey Analysis**

**Overview of the Study:**
A study was conducted to explore cell phone usage and brain hemispheric dominance. An Internet survey was sent to 6,972 subjects randomly selected from an online group interested in ears. Out of these, 1,329 completed surveys were returned. The objective is to test if the return rate is less than 20% using a 0.01 significance level.

**Research Hypotheses:**

- **Null Hypothesis (\(H_0\))**: The return rate \(p\) is equal to 0.2.
- **Alternative Hypothesis (\(H_1\))**: The return rate \(p\) is less than 0.2.

**Statistical Method:**
The study uses the P-value method, employing the normal distribution as an approximation to the binomial distribution.

**Options for Hypotheses:**

\[
\begin{aligned}
\text{A.} & \quad H_0: p \neq 0.2 \quad \quad & H_1: p = 0.2 \\
\text{B.} & \quad H_0: p = 0.2 \quad \quad & H_1: p > 0.2 \\
\text{C.} & \quad \mathbf{H_0: p = 0.2} \quad \quad & \mathbf{H_1: p < 0.2} \\
\text{D.} & \quad H_0: p = 0.2 \quad \quad & H_1: p \neq 0.2 \\
\text{E.} & \quad H_0: p < 0.2 \quad \quad & H_1: p = 0.2 \\
\text{F.} & \quad H_0: p > 0.2 \quad \quad & H_1: p = 0.2 \\
\end{aligned}
\]

**Calculating the Test Statistic:**
The test statistic \(z\) needs to be calculated. It is recommended to round the result to two decimal places as needed.

**Application:**
This exercise illustrates how to set up and test hypotheses in survey data, particularly focusing on determining whether a parameter (in this case, the return rate) meets
Transcribed Image Text:**Title: Understanding Hypothesis Testing in Survey Analysis** **Overview of the Study:** A study was conducted to explore cell phone usage and brain hemispheric dominance. An Internet survey was sent to 6,972 subjects randomly selected from an online group interested in ears. Out of these, 1,329 completed surveys were returned. The objective is to test if the return rate is less than 20% using a 0.01 significance level. **Research Hypotheses:** - **Null Hypothesis (\(H_0\))**: The return rate \(p\) is equal to 0.2. - **Alternative Hypothesis (\(H_1\))**: The return rate \(p\) is less than 0.2. **Statistical Method:** The study uses the P-value method, employing the normal distribution as an approximation to the binomial distribution. **Options for Hypotheses:** \[ \begin{aligned} \text{A.} & \quad H_0: p \neq 0.2 \quad \quad & H_1: p = 0.2 \\ \text{B.} & \quad H_0: p = 0.2 \quad \quad & H_1: p > 0.2 \\ \text{C.} & \quad \mathbf{H_0: p = 0.2} \quad \quad & \mathbf{H_1: p < 0.2} \\ \text{D.} & \quad H_0: p = 0.2 \quad \quad & H_1: p \neq 0.2 \\ \text{E.} & \quad H_0: p < 0.2 \quad \quad & H_1: p = 0.2 \\ \text{F.} & \quad H_0: p > 0.2 \quad \quad & H_1: p = 0.2 \\ \end{aligned} \] **Calculating the Test Statistic:** The test statistic \(z\) needs to be calculated. It is recommended to round the result to two decimal places as needed. **Application:** This exercise illustrates how to set up and test hypotheses in survey data, particularly focusing on determining whether a parameter (in this case, the return rate) meets
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