Test the claim that the proportion of people who own cats is larger than 10% at the 0.005 significance level. The null and alternative hypothesis would be: Ho:p = 0.1 Ho:p= 0.1 Ho:p= 0.1 H1:p+0.1 H1:p > 0.1 H1:p < 0.1 The test is: two-tailed left-tailed right-tailed Based on a sample of 100 people, 13% owned cats The p-value is: (to 2 decimals) Based on this we: O Reject the null hypothesis O Fail to reject the null hypothesis
Test the claim that the proportion of people who own cats is larger than 10% at the 0.005 significance level. The null and alternative hypothesis would be: Ho:p = 0.1 Ho:p= 0.1 Ho:p= 0.1 H1:p+0.1 H1:p > 0.1 H1:p < 0.1 The test is: two-tailed left-tailed right-tailed Based on a sample of 100 people, 13% owned cats The p-value is: (to 2 decimals) Based on this we: O Reject the null hypothesis O 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
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Transcribed Image Text:### Testing the Claim about Cat Ownership Proportion
#### Objective
Determine whether the proportion of people who own cats is larger than 10% at the 0.005 significance level.
#### Hypotheses:
- **Null Hypothesis (H₀)**: \( p = 0.1 \)
- **Alternative Hypothesis (H₁)**: \( p > 0.1 \)
```
H₀: p = 0.1
H₁: p > 0.1
```
#### Type of Test
Select the appropriate type of test to conduct:
- Two-tailed
- Left-tailed
- **Right-tailed** (since we are testing if the proportion is greater than 10%)
#### Data Sample
Based on a sample of 100 people, it was found that 13% owned cats.
#### Calculation of p-value
(The p-value field is left blank in the image to be filled in after calculation, expected to two decimal places)
#### Conclusion
Based on the results:
- **Reject the null hypothesis**
- **Fail to reject the null hypothesis**
#### Submission
Proceed by submitting your response.
### Visual Explanation
There are radio buttons for selecting:
- Hypotheses (three options for the alternative hypothesis)
- Type of Test (three options for the type of test)
- Conclusion (two options for the decision based on the data)
#### Note
The values provided (13 cats out of 100) and the significance level of 0.005 need to be used to compute the p-value. The right choice of decisions will be based upon this computation.
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