The test statistic of z 2.24 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 = 0.05, should we reject H, or should we fail to reject Ho?
The test statistic of z 2.24 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 = 0.05, should we reject H, or should we fail to reject Ho?
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
Topic Video
Question

- [Click here to view page 2 of the standard normal distribution table.](#)
**Question:**
a. This is a [Select option] test (the options might include two-tailed, left-tailed, right-tailed).
### How to Proceed:
1. **Determine the Tail Type:**
- Since the claim is that \( p > 0.5 \), this implies a right-tailed test.
2. **Calculate the P-Value:**
- Use the standard normal distribution table to find the P-value corresponding to \( z = 2.24 \).
3. **Decision Rule:**
- Compare the P-value to \( \alpha = 0.05 \).
- If the P-value is less than \( \alpha \), reject \( H_0 \).
- Otherwise, fail to reject \( H_0 \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8636d8e5-7db5-4798-ae50-fdbd3ac5dcd2%2F211276bd-f3fa-4e48-8300-5c9914b71d22%2Fbi48y84_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Hypothesis Testing with a Test Statistic
In this lesson, we explore the process of hypothesis testing using a test statistic.
**Scenario:**
The test statistic of \( z = 2.24 \) is obtained when testing the claim that \( p > 0.5 \).
**Tasks:**
a. **Hypothesis Test Type:** Determine whether the hypothesis test is two-tailed, left-tailed, or right-tailed.
b. **P-Value:** Find the P-value associated with the test statistic.
c. **Decision Making:** Using a significance level of \( \alpha = 0.05 \), decide whether to reject the null hypothesis \( H_0 \) or fail to reject \( H_0 \).
**Additional Resources:**
- [Click here to view page 1 of the standard normal distribution table.](#)
- [Click here to view page 2 of the standard normal distribution table.](#)
**Question:**
a. This is a [Select option] test (the options might include two-tailed, left-tailed, right-tailed).
### How to Proceed:
1. **Determine the Tail Type:**
- Since the claim is that \( p > 0.5 \), this implies a right-tailed test.
2. **Calculate the P-Value:**
- Use the standard normal distribution table to find the P-value corresponding to \( z = 2.24 \).
3. **Decision Rule:**
- Compare the P-value to \( \alpha = 0.05 \).
- If the P-value is less than \( \alpha \), reject \( H_0 \).
- Otherwise, fail to reject \( H_0 \).
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 3 steps with 3 images

Knowledge Booster
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.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