Hypothesis Test for a Population Proportion Test the claim that the proportion of men who own cats is significantly different than 20% at the 0.2 significance level. The test is based on a sample of 30 people, in which 19% of the sample owned cats. The null and alternative hypothesis would be: Но: и —D 0.2 Но:р — 0.2 Но:д %3D H1:µ + 0.2 H1:p < 0.2 H1: µ < 0.2 H1:µ > 0.2 Но: р H1:p + 0.2 H1:p > 0.2 0.2 Но:р — 0.2 %| %3D The test is: two-tailed left-tailed right-tailed The test statistic is: (to 2 decimals) The positive critical value is: (to 2 decimals) Based on this we: Reject the null hypothesis Fail to reject the null hypothesis
Hypothesis Test for a Population Proportion Test the claim that the proportion of men who own cats is significantly different than 20% at the 0.2 significance level. The test is based on a sample of 30 people, in which 19% of the sample owned cats. The null and alternative hypothesis would be: Но: и —D 0.2 Но:р — 0.2 Но:д %3D H1:µ + 0.2 H1:p < 0.2 H1: µ < 0.2 H1:µ > 0.2 Но: р H1:p + 0.2 H1:p > 0.2 0.2 Но:р — 0.2 %| %3D The test is: two-tailed left-tailed right-tailed The test statistic is: (to 2 decimals) The positive critical value is: (to 2 decimals) Based on this we: Reject the null hypothesis Fail to reject the null hypothesis
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
![**Hypothesis Test for a Population Proportion**
Test the claim that the proportion of men who own cats is significantly different than 20% at the 0.2 significance level. The test is based on a sample of 30 people, in which 19% of the sample owned cats.
**The null and alternative hypothesis would be:**
1. \( H_0: \mu = 0.2 \)
2. \( H_1: \mu \neq 0.2 \)
3. \( H_0: p = 0.2 \)
4. \( H_1: p < 0.2 \)
5. \( H_0: \mu = 0.2 \)
6. \( H_1: \mu < 0.2 \)
7. \( H_0: p = 0.2 \)
8. \( H_1: p > 0.2 \)
**The test is:**
- Two-tailed
- Left-tailed
- Right-tailed (selected)
**The test statistic is:**
_\_\_\_\_ (to 2 decimals)
**The positive critical value is:**
_\_\_\_\_ (to 2 decimals)
**Based on this we:**
- ☐ Reject the null hypothesis
- ☐ Fail to reject the null hypothesis
---
This section outlines a hypothesis test for a given population proportion with options for null and alternative hypotheses. The test is right-tailed, indicating that the interest is in determining if the proportion is greater than 20%. The completion of this sheet requires calculation of the test statistic and comparing it to the critical value to make a decision regarding the hypotheses.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5b06cc1a-670c-4da3-86c8-aa55d4f56c06%2Fb3744720-f0bd-4c27-8897-74967393d290%2F6lqegli_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Hypothesis Test for a Population Proportion**
Test the claim that the proportion of men who own cats is significantly different than 20% at the 0.2 significance level. The test is based on a sample of 30 people, in which 19% of the sample owned cats.
**The null and alternative hypothesis would be:**
1. \( H_0: \mu = 0.2 \)
2. \( H_1: \mu \neq 0.2 \)
3. \( H_0: p = 0.2 \)
4. \( H_1: p < 0.2 \)
5. \( H_0: \mu = 0.2 \)
6. \( H_1: \mu < 0.2 \)
7. \( H_0: p = 0.2 \)
8. \( H_1: p > 0.2 \)
**The test is:**
- Two-tailed
- Left-tailed
- Right-tailed (selected)
**The test statistic is:**
_\_\_\_\_ (to 2 decimals)
**The positive critical value is:**
_\_\_\_\_ (to 2 decimals)
**Based on this we:**
- ☐ Reject the null hypothesis
- ☐ Fail to reject the null hypothesis
---
This section outlines a hypothesis test for a given population proportion with options for null and alternative hypotheses. The test is right-tailed, indicating that the interest is in determining if the proportion is greater than 20%. The completion of this sheet requires calculation of the test statistic and comparing it to the critical value to make a decision regarding the hypotheses.
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
Step 1
From the provided information,
Sample size (n) = 20
19% of the sample owned cats so sample proportion (p̂) = 0.19
Level of significance (α) = 0.2
Step by step
Solved in 4 steps with 1 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
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](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
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…](https://www.bartleby.com/isbn_cover_images/9780134683416/9780134683416_smallCoverImage.gif)
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
![The Basic Practice of Statistics](https://www.bartleby.com/isbn_cover_images/9781319042578/9781319042578_smallCoverImage.gif)
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](https://www.bartleby.com/isbn_cover_images/9781319013387/9781319013387_smallCoverImage.gif)
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman