Test the claim that the proportlon of people who own cats Is larger than 90% at the 0.05 significance level. The null and alternatlve hypothesis would be: Ho:p < 0.9 Ho:p = 0.9 Ho: u > 0.9 Ho:p = 0.9 Họ:µ < 0.9 Họ:p 2 0.9 o H1:p > 0.9 H1 :p+ 0.9 H1:p < 0.9 H1 :µ 7 0.9 H1: p > 0.9 Hị:p < 0.9 %3D The test is: left-tailed right-tailed two-tailed Based on a sample of 600 people, 97% owned cats The test statistic is: (to 2 decimals) The p-value is: (to 2 decimals)

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Author:Amos Gilat
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Based on a sample of 600 people,97% owned cats 

The test statistic is:________( to 2 decimals) 

The P-value is:____________( to 2 decimals) 

**Hypothesis Testing for Proportion of Cat Owners**

**Objective:**
Test the claim that the proportion of people who own cats is larger than 90% at the 0.05 significance level.

**Hypotheses:**
- Null hypothesis (\( H_0 \)): \( p \leq 0.9 \)
- Alternative hypothesis (\( H_1 \)): \( p > 0.9 \)

**Test Type:**
- Right-tailed test

**Sample Data:**
- Based on a sample of 600 people, 97% owned cats.

**Statistical Analysis:**
- **Test Statistic:** (to be calculated)
- **P-value:** (to be calculated)

**Conclusion:**
- Decision: Reject the null hypothesis.

**Explanation:**
This test examines whether more than 90% of the population owns cats, based on sample data. With a right-tailed test, we're checking if the sample proportion is significantly greater than 0.9. If the p-value is less than 0.05, the null hypothesis will be rejected, suggesting that more than 90% of people indeed own cats.
Transcribed Image Text:**Hypothesis Testing for Proportion of Cat Owners** **Objective:** Test the claim that the proportion of people who own cats is larger than 90% at the 0.05 significance level. **Hypotheses:** - Null hypothesis (\( H_0 \)): \( p \leq 0.9 \) - Alternative hypothesis (\( H_1 \)): \( p > 0.9 \) **Test Type:** - Right-tailed test **Sample Data:** - Based on a sample of 600 people, 97% owned cats. **Statistical Analysis:** - **Test Statistic:** (to be calculated) - **P-value:** (to be calculated) **Conclusion:** - Decision: Reject the null hypothesis. **Explanation:** This test examines whether more than 90% of the population owns cats, based on sample data. With a right-tailed test, we're checking if the sample proportion is significantly greater than 0.9. If the p-value is less than 0.05, the null hypothesis will be rejected, suggesting that more than 90% of people indeed own cats.
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