Describe type I and type II errors for a hypothesis test of the indicated claim A furniture store claims that no more than 60% of its new customers will return to buy their next piece of furniture. Describe the type 1 error Choose the correct answer below A. A type error will occur when the actual proportion of new customers who return to buy their next piece of furniture is no more than 0.60, but you reject Ho p≤0.60 B. Atype error will occur when the actual proportion of new customers who return to buy their next piece of furniture is at least 0.60, but you reject Hop≥ 0.60. C Atype 1 error will occur when the actual proportion of new customers who return to buy their next piece of furniture is at least 0.60, but you fail to reject H, p=0.60 hen the actual proportion of new customers who return to buy their next piece of furniture is

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**Understanding Type I Errors in Hypothesis Testing**

A furniture store claims that no more than 60% of its new customers will return to buy their next piece of furniture.

**Describe the Type I error. Choose the correct answer below:**

- **A.** A type I error will occur when the actual proportion of new customers who return to buy their next piece of furniture is no more than 0.60, but you reject \( H_0 \), \( p \leq 0.60 \).

- **B.** A type I error will occur when the actual proportion of new customers who return to buy their next piece of furniture is at least 0.60, but you reject \( H_0 \), \( p \geq 0.60 \).

- **C.** A type I error will occur when the actual proportion of new customers who return to buy their next piece of furniture is at least 0.60, but you fail to reject \( H_0 \), \( p \geq 0.60 \).

- **D.** A type I error will occur when the actual proportion of new customers who return to buy their next piece of furniture is no more than 0.60, but you fail to reject \( H_0 \), \( p \leq 0.60 \).

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**Explanation**: A Type I error occurs when the null hypothesis (\( H_0 \)) is true, but we incorrectly reject it. In this context, the null hypothesis states that no more than 60% (0.60) of new customers will return for their next purchase.
Transcribed Image Text:Here's a transcription of the text suitable for an educational website: --- **Understanding Type I Errors in Hypothesis Testing** A furniture store claims that no more than 60% of its new customers will return to buy their next piece of furniture. **Describe the Type I error. Choose the correct answer below:** - **A.** A type I error will occur when the actual proportion of new customers who return to buy their next piece of furniture is no more than 0.60, but you reject \( H_0 \), \( p \leq 0.60 \). - **B.** A type I error will occur when the actual proportion of new customers who return to buy their next piece of furniture is at least 0.60, but you reject \( H_0 \), \( p \geq 0.60 \). - **C.** A type I error will occur when the actual proportion of new customers who return to buy their next piece of furniture is at least 0.60, but you fail to reject \( H_0 \), \( p \geq 0.60 \). - **D.** A type I error will occur when the actual proportion of new customers who return to buy their next piece of furniture is no more than 0.60, but you fail to reject \( H_0 \), \( p \leq 0.60 \). --- **Explanation**: A Type I error occurs when the null hypothesis (\( H_0 \)) is true, but we incorrectly reject it. In this context, the null hypothesis states that no more than 60% (0.60) of new customers will return for their next purchase.
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