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

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### 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.
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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