K Assume a significance level of a=0.1 and use the given information to complete parts (a) and (b) below. Original claim: The mean pulse rate (in beats per minute) of a certain group of adult males is 76 bpm. The hypothesis test results in a P-value of 0.0047 a. State a conclusion about the null hypothesis. (Reject Ho or fail to reject Ho.) Choose the correct answer below: OA. Reject Ho because the P-value is greater than a. OB. Reject Ho because the P-value is less than or equal to a. OC. Fail to reject Ho because the P-value is less than or equal to a. OD. Fail to reject Ho because the P-value is greater than a.

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**Educational Website Text**

**Context: Hypothesis Testing in Statistics**

**Assume a significance level of \( \alpha = 0.1 \) and use the given information to complete parts (a) and (b) below.**

**Original Claim**: The mean pulse rate (in beats per minute) of a certain group of adult males is 76 bpm. The hypothesis test results in a P-value of 0.0047.

**a. State a conclusion about the null hypothesis. (Reject \( H_0 \), or fail to reject \( H_0 \).) Choose the correct answer below:**

- A. Reject \( H_0 \) because the P-value is greater than \( \alpha \).
- B. Reject \( H_0 \) because the P-value is less than or equal to \( \alpha \).
- C. Fail to reject \( H_0 \) because the P-value is less than or equal to \( \alpha \).
- D. Fail to reject \( H_0 \) because the P-value is greater than \( \alpha \).

**Explanation:**
In hypothesis testing, the P-value is the probability of observing the test results under the null hypothesis. If the P-value is less than or equal to the significance level \( \alpha \), we reject the null hypothesis. Given \( \alpha = 0.1 \) and P-value = 0.0047, since 0.0047 < 0.1, we reject \( H_0 \).

**Correct Answer**: B. Reject \( H_0 \) because the P-value is less than or equal to \( \alpha \).
Transcribed Image Text:**Educational Website Text** **Context: Hypothesis Testing in Statistics** **Assume a significance level of \( \alpha = 0.1 \) and use the given information to complete parts (a) and (b) below.** **Original Claim**: The mean pulse rate (in beats per minute) of a certain group of adult males is 76 bpm. The hypothesis test results in a P-value of 0.0047. **a. State a conclusion about the null hypothesis. (Reject \( H_0 \), or fail to reject \( H_0 \).) Choose the correct answer below:** - A. Reject \( H_0 \) because the P-value is greater than \( \alpha \). - B. Reject \( H_0 \) because the P-value is less than or equal to \( \alpha \). - C. Fail to reject \( H_0 \) because the P-value is less than or equal to \( \alpha \). - D. Fail to reject \( H_0 \) because the P-value is greater than \( \alpha \). **Explanation:** In hypothesis testing, the P-value is the probability of observing the test results under the null hypothesis. If the P-value is less than or equal to the significance level \( \alpha \), we reject the null hypothesis. Given \( \alpha = 0.1 \) and P-value = 0.0047, since 0.0047 < 0.1, we reject \( H_0 \). **Correct Answer**: B. Reject \( H_0 \) because the P-value is less than or equal to \( \alpha \).
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