Assume a significance level of a = 0.05 and use the given information to complete parts (a) and (b) below. Original claim: The standard deviation of pulse rates of a certain group of adult males is more than 19 bpm. The hypothesis test results in a P-value of 0.3695. a. State a conclusion about the null hypothesis. (Reject Ho or fail to reject Ho.) Choose the correct answer below. O A. Reject Ho because the P-value is greater than a. B. Fail to reject Ho because the P-value is greater than a. C. Fail to reject Ho because the P-value is less than or equal to a. D. Reject Ho because the P-value is less than or equal to a.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Topic Video
Question
### Hypothesis Testing: Significance Level and P-value Interpretation

Assume a significance level of α = 0.05 and use the given information to complete parts (a) and (b) below.

### Problem Scenario
**Original claim:** The standard deviation of pulse rates of a certain group of adult males is more than 19 bpm. The hypothesis test results in a P-value of 0.3695.

**a. State a conclusion about the null hypothesis.** (Reject H₀ or fail to reject H₀.) Choose the correct answer below.

#### Answer Choices:
- **A.** Reject H₀ because the P-value is greater than α.
- **B.** Fail to reject H₀ because the P-value is greater than α.
- **C.** Fail to reject H₀ because the P-value is less than or equal to α.
- **D.** Reject H₀ because the P-value is less than or equal to α.

#### Explanation:
To determine the conclusion about the null hypothesis (H₀), compare the P-value to the significance level (α):

- If the P-value is less than or equal to the significance level (α), we reject the null hypothesis (H₀).
- If the P-value is greater than the significance level (α), we fail to reject the null hypothesis (H₀).

Given that the P-value (0.3695) is greater than the significance level (α = 0.05), we fail to reject the null hypothesis.

Thus, the correct answer is:
- **B. Fail to reject H₀ because the P-value is greater than α.**
Transcribed Image Text:### Hypothesis Testing: Significance Level and P-value Interpretation Assume a significance level of α = 0.05 and use the given information to complete parts (a) and (b) below. ### Problem Scenario **Original claim:** The standard deviation of pulse rates of a certain group of adult males is more than 19 bpm. The hypothesis test results in a P-value of 0.3695. **a. State a conclusion about the null hypothesis.** (Reject H₀ or fail to reject H₀.) Choose the correct answer below. #### Answer Choices: - **A.** Reject H₀ because the P-value is greater than α. - **B.** Fail to reject H₀ because the P-value is greater than α. - **C.** Fail to reject H₀ because the P-value is less than or equal to α. - **D.** Reject H₀ because the P-value is less than or equal to α. #### Explanation: To determine the conclusion about the null hypothesis (H₀), compare the P-value to the significance level (α): - If the P-value is less than or equal to the significance level (α), we reject the null hypothesis (H₀). - If the P-value is greater than the significance level (α), we fail to reject the null hypothesis (H₀). Given that the P-value (0.3695) is greater than the significance level (α = 0.05), we fail to reject the null hypothesis. Thus, the correct answer is: - **B. Fail to reject H₀ because the P-value is greater than α.**
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Means
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman