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)
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)
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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Based on a sample of 600 people,97% owned cats
The test statistic is:________( to 2 decimals)
The P-value is:____________( to 2 decimals)

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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