The test statistic of z=1.46 is obtained when testing the claim that p> 0.5. a. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed. b. Find the P-value. c. Using a significance level of a = 0.01, should we reject H, or should we fail to reject Ho? Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. a. This is a right-tailed test. b. P-value= (Round to three decimal places as needed.)
The test statistic of z=1.46 is obtained when testing the claim that p> 0.5. a. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed. b. Find the P-value. c. Using a significance level of a = 0.01, should we reject H, or should we fail to reject Ho? Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. a. This is a right-tailed test. b. P-value= (Round to three decimal places as needed.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
10
C.
Reject H0
Fail to reject H0

- [Page 2 of the Standard Normal Distribution Table](#)
*(Note: Specific numeric calculations for the P-value require access to the standard normal distribution table.)*](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8dd0957e-bb75-4f35-baf9-1596cc2b4cca%2F1abc78ad-57b6-47c3-b221-f2c1f85fa7fc%2F0j3jnnr_processed.png&w=3840&q=75)
Transcribed Image Text:**Hypothesis Testing Guide**
In this example, we are testing the claim that \( p > 0.5 \) with a test statistic of \( z = 1.46 \).
**a. Identifying the Hypothesis Test Type**
- The test type is determined by the nature of the claim:
- **Two-tailed**: Tests if a parameter is significantly different from the hypothesized value (could be higher or lower).
- **Left-tailed**: Tests if a parameter is significantly less than the hypothesized value.
- **Right-tailed**: Tests if a parameter is significantly greater than the hypothesized value.
- For the claim \( p > 0.5 \), this is a **right-tailed test**.
**b. Finding the P-value**
- The P-value helps determine the significance of the results. It is based on the z-score obtained from testing. The detailed steps to find the P-value are typically:
1. Refer to a standard normal distribution table.
2. Locate the corresponding P-value for the given z-score.
3. Input the P-value, rounded to three decimal places.
**c. Deciding to Reject or Fail to Reject \( H_0 \)**
- Using a significance level of \( \alpha = 0.01 \):
- Compare the P-value with the significance level.
- If \( \text{P-value} \leq \alpha \), reject \( H_0 \).
- If \( \text{P-value} > \alpha \), fail to reject \( H_0 \).
**Resource Links:**
- [Page 1 of the Standard Normal Distribution Table](#)
- [Page 2 of the Standard Normal Distribution Table](#)
*(Note: Specific numeric calculations for the P-value require access to the standard normal distribution table.)*
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 1 images

Recommended textbooks for you

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON

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
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman