a myopenmath.com You wish to test the following claim at a significance level of a = 0.005. Ho:p = 0.73 H1:p > 0.73 You obtain a sample of size 493 in which there are 376 successful observations. What is the test statistic for this sample? (Report answer accurate to 2 decimal places but do not round in the middle of your calculations.)
a myopenmath.com You wish to test the following claim at a significance level of a = 0.005. Ho:p = 0.73 H1:p > 0.73 You obtain a sample of size 493 in which there are 376 successful observations. What is the test statistic for this sample? (Report answer accurate to 2 decimal places but do not round in the middle of your calculations.)
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
![You wish to test the following claim at a significance level of \(\alpha = 0.005\).
\[
H_0: p = 0.73 \\
H_1: p > 0.73
\]
You obtain a sample of size 493 in which there are 376 successful observations.
What is the test statistic for this sample? (Report answer accurate to 2 decimal places but do not round in the middle of your calculations.)
[Text Box]
What is the p-value for this sample? (Report answer accurate to 4 decimal places.)
[Text Box]
This test statistic leads to a decision to
- ∘ reject the null
- ∘ accept the null
- ∘ fail to reject the null
As such, the final conclusion is that
- ∘ there is sufficient evidence to conclude that the population proportion is greater than 0.73.
- ∘ there is not sufficient evidence to conclude that the population proportion is greater than 0.73.
- ∘ there is sufficient evidence to conclude that the population proportion is equal to 0.73.
- ∘ there is not sufficient evidence to conclude that the population proportion is equal to 0.73.
**Question Help:** [Message instructor]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fce50b93f-42b3-4701-b743-a90fac435d77%2Fa12ead39-cf75-4409-b3f6-7b47c1b00c79%2F7b46s8v_processed.jpeg&w=3840&q=75)
Transcribed Image Text:You wish to test the following claim at a significance level of \(\alpha = 0.005\).
\[
H_0: p = 0.73 \\
H_1: p > 0.73
\]
You obtain a sample of size 493 in which there are 376 successful observations.
What is the test statistic for this sample? (Report answer accurate to 2 decimal places but do not round in the middle of your calculations.)
[Text Box]
What is the p-value for this sample? (Report answer accurate to 4 decimal places.)
[Text Box]
This test statistic leads to a decision to
- ∘ reject the null
- ∘ accept the null
- ∘ fail to reject the null
As such, the final conclusion is that
- ∘ there is sufficient evidence to conclude that the population proportion is greater than 0.73.
- ∘ there is not sufficient evidence to conclude that the population proportion is greater than 0.73.
- ∘ there is sufficient evidence to conclude that the population proportion is equal to 0.73.
- ∘ there is not sufficient evidence to conclude that the population proportion is equal to 0.73.
**Question Help:** [Message instructor]

Transcribed Image Text:### Hypothesis Testing Example
This is an example of a hypothesis testing problem.
**Hypotheses:**
- \( H_0: p = 0.3 \)
- \( H_1: p \neq 0.3 \)
**Sample Information:**
- Based on a sample of 70 people, 31% owned cats.
**Statistical Information:**
- The test statistic is calculated as 1.537 (to 3 decimal places).
- The positive critical value given is -2.33 (to 2 decimal places). Note: This seems incorrect as critical values for hypothesis tests are typically positive or matched with corresponding negative values, depending on the test type.
**Decision:**
Based on these calculations, the decision is to:
- Fail to reject the null hypothesis.
If you have questions or need further clarification, you can contact your instructor by clicking the "Message instructor" link.
After reviewing, you can submit your response using the "Submit Question" button.
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 5 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