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

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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.
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.
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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