Only about 11% of all people can wiggle their ears. Is this percent different for millionaires? Of the 315 millionaires surveyed, 50 could wiggle their ears. What can be concluded at the a = 0.05 level of significance? %3D a. For this study, we should use b. The null and alternative hypotheses would be: Select an answer Ho: ? C Select an answer (please enter a decimal) H1: Select an answer (Please enter a decimal) c. The test statistic ? 0 (please show your answer to 3 decimal places.) %3D
Only about 11% of all people can wiggle their ears. Is this percent different for millionaires? Of the 315 millionaires surveyed, 50 could wiggle their ears. What can be concluded at the a = 0.05 level of significance? %3D a. For this study, we should use b. The null and alternative hypotheses would be: Select an answer Ho: ? C Select an answer (please enter a decimal) H1: Select an answer (Please enter a decimal) c. The test statistic ? 0 (please show your answer to 3 decimal places.) %3D
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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This guide assists in understanding how to determine statistical significance regarding whether the ear-wiggling ability among millionaires differs from the general population.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb59df692-2bde-4aad-9a98-5b0a7ddf3ca5%2F8a4f2492-339e-45bc-9d0f-245438e1eca5%2Flne3xxg.jpeg&w=3840&q=75)
Transcribed Image Text:**Statistical Hypothesis Testing: Ear Wiggling Proportion Among Millionaires**
In the study, we want to determine if the proportion of millionaires who can wiggle their ears is different from the general population, which is approximately 11%. Out of 315 millionaires surveyed, 50 could wiggle their ears. We will assess this using a significance level of \( \alpha = 0.05 \).
### Steps in Testing:
1. **Select Test Type:**
- For this study, we should use: _Select an answer_.
2. **Formulate Hypotheses:**
- **Null Hypothesis (\(H_0\)):**
- \(H_0: \) ? _Select an answer_ \( = \) _(please enter a decimal)_
- **Alternative Hypothesis (\(H_1\)):**
- \(H_1: \) ? _Select an answer_ \( = \) _(Please enter a decimal)_
3. **Calculate Test Statistic:**
- The test statistic is: \( ? = \) _(please show your answer to 3 decimal places)_
4. **Determine P-value:**
- The p-value is: \( = \) _(Please show your answer to 3 decimal places)_
5. **Compare P-value to Significance Level:**
- If \( \text{p-value} \leq \alpha \), decide to: _Select an answer_ the null hypothesis.
6. **Draw Conclusion:**
Based on the analysis:
- The data suggest the population proportion is **not significantly different** from 11% at \( \alpha = 0.05 \), indicating statistically insignificant evidence to conclude that the population proportion of millionaires who can wiggle their ears is different from 11%.
- Alternatively, if significant, the data suggest the population proportion is **significantly different** from 11% at \( \alpha = 0.05 \).
### Additional Resources:
- Helpful Videos: [Calculations](#), [Setup](#), [Interpretations](#)
This guide assists in understanding how to determine statistical significance regarding whether the ear-wiggling ability among millionaires differs from the general population.
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