Describe type I and type Il errors for a hypothesis test of the indicated claim. A furniture store claims that at least 50% of its new customers will return to buy their next piece of furniture. O A. Atype I error will occur when the actual proportion of new customers who return to buy their next piece of furniture is no more than 0.50, but you fail to reject Hn: ps0.50. O B. Atype I error will occur when the actual proportion of new customers who return to buy their next piece of furniture is at least 0.50, but you fail to reject Ho: p20.50. C. Atype I error will occur when the actual proportion of new customers who return to buy their next piece of furniture is at least 0.50, but you reject Ho: p20.50. O D. Atype I error will occur when the actual proportion of new customers who return to buy their next piece of furniture is no more than 0.50, but you reject Ho: ps0.50. Describe the type Il error. Choose the correct answer below. O A. Atype Il error will occur when the actual proportion of new customers who return to buy their next piece of furniture is more than 0.50, but you reject Ho: ps0.50. O B. Atype Il error will occur when the actual proportion of new customers who return to buy their next piece of furniture is less than 0.50, but you reject Ho: ps0.50. O C. Atype Il error will occur when the actual proportion of new customers who return to buy their next piece of furniture is less than 0.50, but you fail to reject Ho: p20.50. O D. Atype ll error will occur when the actual proportion of new customers who return to buy their next piece of furniture is more than 0.50, but you fail to reject Ho: p20.50. Help Me Solve This Video Get More Help - Clear All Final Check Pearson Copyright © 2021 Pearson Education Inc. All rights reserved. | Terms of Use | Privacy Policy| Permissions I Contact Us I

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The image presents a question about Type I and Type II errors for a hypothesis test related to a furniture store's claim. The claim is that at least 50% of its new customers will return to buy their next piece of furniture.

**Type I Error:**
The options describe when a Type I error would occur. A Type I error happens when the null hypothesis \( H_0 \) is incorrectly rejected:
- **A.** Occurs when the actual proportion of new customers returning is no more than 0.50, but you fail to reject \( H_0 \).
- **B.** Occurs when the actual proportion of new customers returning is at least 0.50, but you fail to reject \( H_0 \).
- **C.** Occurs when the actual proportion of new customers returning is at least 0.50, but you reject \( H_0 \). (*Correct answer selected*)
- **D.** Occurs when the actual proportion of new customers returning is no more than 0.50, but you reject \( H_0 \).

**Type II Error:**
The options describe when a Type II error would occur. A Type II error happens when the null hypothesis \( H_0 \) is incorrectly accepted:
- **A.** Occurs when the actual proportion of new customers returning is more than 0.50, but you reject \( H_0 \).
- **B.** Occurs when the actual proportion of new customers returning is less than 0.50, but you reject \( H_0 \).
- **C.** Occurs when the actual proportion of new customers returning is less than 0.50, but you fail to reject \( H_0 \).
- **D.** Occurs when the actual proportion of new customers returning is more than 0.50, but you fail to reject \( H_0 \).

The interface provides options for help, such as "Help Me Solve This," "Video," and "Get More Help," as well as buttons for clearing answers or checking the final answer. The copyright notice at the bottom notes that the content is from Pearson Education Inc., 2021.
Transcribed Image Text:The image presents a question about Type I and Type II errors for a hypothesis test related to a furniture store's claim. The claim is that at least 50% of its new customers will return to buy their next piece of furniture. **Type I Error:** The options describe when a Type I error would occur. A Type I error happens when the null hypothesis \( H_0 \) is incorrectly rejected: - **A.** Occurs when the actual proportion of new customers returning is no more than 0.50, but you fail to reject \( H_0 \). - **B.** Occurs when the actual proportion of new customers returning is at least 0.50, but you fail to reject \( H_0 \). - **C.** Occurs when the actual proportion of new customers returning is at least 0.50, but you reject \( H_0 \). (*Correct answer selected*) - **D.** Occurs when the actual proportion of new customers returning is no more than 0.50, but you reject \( H_0 \). **Type II Error:** The options describe when a Type II error would occur. A Type II error happens when the null hypothesis \( H_0 \) is incorrectly accepted: - **A.** Occurs when the actual proportion of new customers returning is more than 0.50, but you reject \( H_0 \). - **B.** Occurs when the actual proportion of new customers returning is less than 0.50, but you reject \( H_0 \). - **C.** Occurs when the actual proportion of new customers returning is less than 0.50, but you fail to reject \( H_0 \). - **D.** Occurs when the actual proportion of new customers returning is more than 0.50, but you fail to reject \( H_0 \). The interface provides options for help, such as "Help Me Solve This," "Video," and "Get More Help," as well as buttons for clearing answers or checking the final answer. The copyright notice at the bottom notes that the content is from Pearson Education Inc., 2021.
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