In a random sample of 75 men, 22 men owned cats. The P-value of this sample is (to 4 decimals). Based on this we: Reject the null hypothesis We address the original claim with the conclusion. There is insufficient evidence to reject the proportion of men who own cats is 15% with 0.01 significance level. O The proportion of men who own cats is 15% with 0.01 significance level. O The proportion of men who own cats is not 15% with 0.01 significance level. O There is insufficient evidence that the proportion of men who own cats is significantly different than 15% with 0.01 significance level
In a random sample of 75 men, 22 men owned cats. The P-value of this sample is (to 4 decimals). Based on this we: Reject the null hypothesis We address the original claim with the conclusion. There is insufficient evidence to reject the proportion of men who own cats is 15% with 0.01 significance level. O The proportion of men who own cats is 15% with 0.01 significance level. O The proportion of men who own cats is not 15% with 0.01 significance level. O There is insufficient evidence that the proportion of men who own cats is significantly different than 15% with 0.01 significance level
MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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![In a random sample of 75 men, 22 men owned cats.
The P-value of this sample is [______] (to 4 decimals).
Based on this we: [Reject the null hypothesis]
We address the original claim with the conclusion:
- (Selected) There is insufficient evidence to reject the proportion of men who own cats is 15% with 0.01 significance level.
- The proportion of men who own cats is 15% with 0.01 significance level.
- The proportion of men who own cats is not 15% with 0.01 significance level.
- There is insufficient evidence that the proportion of men who own cats is significantly different than 15% with 0.01 significance level.
- The proportion of men who own cats is significantly different than 15% with 0.01 significance level.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb8007b36-f4a6-4b32-9d11-4a6561dde5ee%2F845690e6-af4b-4b86-976c-60807c183528%2Fgsld_processed.jpeg&w=3840&q=75)
Transcribed Image Text:In a random sample of 75 men, 22 men owned cats.
The P-value of this sample is [______] (to 4 decimals).
Based on this we: [Reject the null hypothesis]
We address the original claim with the conclusion:
- (Selected) There is insufficient evidence to reject the proportion of men who own cats is 15% with 0.01 significance level.
- The proportion of men who own cats is 15% with 0.01 significance level.
- The proportion of men who own cats is not 15% with 0.01 significance level.
- There is insufficient evidence that the proportion of men who own cats is significantly different than 15% with 0.01 significance level.
- The proportion of men who own cats is significantly different than 15% with 0.01 significance level.
![**Claim Testing at 0.01 Significance Level**
**Objective**: Test the claim that the proportion of men who own cats is significantly different from 15% at the 0.01 significance level.
### Hypothesis Formulation
**Null Hypothesis (\(H_0\))**:
\[ H_0: p = 0.15 \]
- This states that the proportion of men who own cats is 15%.
**Alternative Hypothesis (\(H_1\))**:
\[ H_1: p \neq 0.15 \]
- This suggests that the proportion is different from 15%.
### Explanation
- **\(H_0: p = 0.15\)**: The proportion is hypothesized to equal 15%.
- **\(H_1: p \neq 0.15\)**: The proportion is hypothesized to be not equal to 15%, indicating a two-tailed test.
An option is selected that matches the correct formulation of null and alternative hypotheses, highlighting the conditions under which statistical significance will be assessed.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb8007b36-f4a6-4b32-9d11-4a6561dde5ee%2F845690e6-af4b-4b86-976c-60807c183528%2F0qzqg9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Claim Testing at 0.01 Significance Level**
**Objective**: Test the claim that the proportion of men who own cats is significantly different from 15% at the 0.01 significance level.
### Hypothesis Formulation
**Null Hypothesis (\(H_0\))**:
\[ H_0: p = 0.15 \]
- This states that the proportion of men who own cats is 15%.
**Alternative Hypothesis (\(H_1\))**:
\[ H_1: p \neq 0.15 \]
- This suggests that the proportion is different from 15%.
### Explanation
- **\(H_0: p = 0.15\)**: The proportion is hypothesized to equal 15%.
- **\(H_1: p \neq 0.15\)**: The proportion is hypothesized to be not equal to 15%, indicating a two-tailed test.
An option is selected that matches the correct formulation of null and alternative hypotheses, highlighting the conditions under which statistical significance will be assessed.
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