Find the P-value for a left-tailed hypothesis test with a test statistic of z= - 1.77. Decide whether to reject H, if the level of significance is a = 0.10. P-value = (Round to four decimal places as needed.)
Find the P-value for a left-tailed hypothesis test with a test statistic of z= - 1.77. Decide whether to reject H, if the level of significance is a = 0.10. P-value = (Round to four 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
Topic Video
Question
![**Hypothesis Testing: Left-Tailed Test**
Find the P-value for a left-tailed hypothesis test with a test statistic of \( z = -1.77 \). Decide whether to reject \( H_0 \) if the level of significance is \( \alpha = 0.10 \).
**P-value:** \[ \boxed{\phantom{0}} \] (Round to four decimal places as needed.)
**Explanation:**
In this scenario, we're conducting a left-tailed test, which means we are testing whether a sample mean is significantly less than the hypothesized population mean. The z-score for this test is -1.77. To determine the P-value, we will look up this z-score in the standard normal distribution table.
*Steps to Determine the P-value:*
1. **Identify the Z-score:**
- The provided test statistic is \( z = -1.77 \).
2. **Find the P-value:**
- Using a Z-table or statistical software, locate the probability corresponding to \( z = -1.77 \).
3. **Comparison with the Level of Significance:**
- Compare the P-value to the given level of significance (\( \alpha = 0.10 \)).
- If the P-value is less than or equal to \( \alpha \), reject the null hypothesis \( H_0 \).
- If the P-value is greater than \( \alpha \), do not reject \( H_0 \).
This process helps to determine whether the observed data is significantly different from what was expected under the null hypothesis.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F862166d3-ebd8-40df-9939-ca66a7942ca2%2F58dc224a-a797-4873-ac78-5c7c42043732%2F4bn3aga_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Hypothesis Testing: Left-Tailed Test**
Find the P-value for a left-tailed hypothesis test with a test statistic of \( z = -1.77 \). Decide whether to reject \( H_0 \) if the level of significance is \( \alpha = 0.10 \).
**P-value:** \[ \boxed{\phantom{0}} \] (Round to four decimal places as needed.)
**Explanation:**
In this scenario, we're conducting a left-tailed test, which means we are testing whether a sample mean is significantly less than the hypothesized population mean. The z-score for this test is -1.77. To determine the P-value, we will look up this z-score in the standard normal distribution table.
*Steps to Determine the P-value:*
1. **Identify the Z-score:**
- The provided test statistic is \( z = -1.77 \).
2. **Find the P-value:**
- Using a Z-table or statistical software, locate the probability corresponding to \( z = -1.77 \).
3. **Comparison with the Level of Significance:**
- Compare the P-value to the given level of significance (\( \alpha = 0.10 \)).
- If the P-value is less than or equal to \( \alpha \), reject the null hypothesis \( H_0 \).
- If the P-value is greater than \( \alpha \), do not reject \( H_0 \).
This process helps to determine whether the observed data is significantly different from what was expected under the null hypothesis.
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 2 steps with 2 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