Only about 13% of all people can wiggle their ears. Is this percent different for millionaires? Of the 364 millionaires surveyed, 40 could wiggle their ears. What can be concluded at the a= 0.01 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ? H₁: ? Select an answer Select an answer c. The test statistic? = (please enter a decimal) (Please enter a decimal) (please show your answer to 3 decimal places.) (Please show your answer to 3 decimal places.) d. The p-value = e. The p-value is ? & f. Based on this, we should Select an answer the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest the population proportion is not significantly different from 13% at a = 0.01, so there is statistically insignificant evidence to conclude that the population proportion of millionaires who can wiggle their ears is different from 13%. The data suggest the population proportion is not significantly different from 13% at a = 0.01, so there is statistically significant evidence to conclude that the population proportion of millionaires who can wiggle their ears is equal to 13%. O The data suggest the populaton proportion is significantly different from 13% at a = 0.01, so there is statistically significant evidence to conclude that the population proportion of millionaires who can wiggle their ears is different from 13%.
Only about 13% of all people can wiggle their ears. Is this percent different for millionaires? Of the 364 millionaires surveyed, 40 could wiggle their ears. What can be concluded at the a= 0.01 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ? H₁: ? Select an answer Select an answer c. The test statistic? = (please enter a decimal) (Please enter a decimal) (please show your answer to 3 decimal places.) (Please show your answer to 3 decimal places.) d. The p-value = e. The p-value is ? & f. Based on this, we should Select an answer the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest the population proportion is not significantly different from 13% at a = 0.01, so there is statistically insignificant evidence to conclude that the population proportion of millionaires who can wiggle their ears is different from 13%. The data suggest the population proportion is not significantly different from 13% at a = 0.01, so there is statistically significant evidence to conclude that the population proportion of millionaires who can wiggle their ears is equal to 13%. O The data suggest the populaton proportion is significantly different from 13% at a = 0.01, so there is statistically significant evidence to conclude that the population proportion of millionaires who can wiggle their ears is different from 13%.
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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![Certainly! Here is a detailed transcription and explanation suitable for an educational website:
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### Statistical Analysis: Ear Wiggling Among Millionaires
**Context:**
Only about 13% of the general population can wiggle their ears. A survey conducted with 364 millionaires revealed that 40 of them could wiggle their ears. We aim to determine if the proportion of ear-wiggling among millionaires is significantly different from the general population, using a significance level of \(\alpha = 0.01\).
#### Steps for Hypothesis Testing:
**a. Test Selection**
- For this study, select the appropriate statistical test to analyze the data.
**b. Formulating Hypotheses**
- **Null Hypothesis (\(H_0\)):** The population proportion of millionaires who can wiggle their ears is equal to 13%.
\[H_0 : p = 0.13\]
- **Alternative Hypothesis (\(H_1\)):** The population proportion of millionaires who can wiggle their ears is different from 13%.
\[H_1 : p \neq 0.13\]
**c. Calculation of Test Statistic**
- Calculate the test statistic and provide the answer to three decimal places.
**d. Determination of P-value**
- Compute the p-value and ensure it is presented to three decimal places.
**e. Comparison of P-value and Alpha**
- Analyze if the p-value is less than or equal to \(\alpha\).
**f. Decision Making**
- Based on the p-value, decide whether to reject the null hypothesis.
**g. Conclusion**
- Formulate the final conclusion based on the statistical analysis:
- \(\bigcirc\) The data suggest the population proportion is not significantly different from 13% at \(\alpha = 0.01\), indicating statistically insignificant evidence to conclude that the population proportion of millionaires who can wiggle their ears is different from 13%.
- \(\bigcirc\) The data suggest the population proportion is not significantly different from 13% at \(\alpha = 0.01\), indicating statistically significant evidence to conclude that the population proportion of millionaires who can wiggle their ears is equal to 13%.
- \(\bigcirc\) The data suggest the population proportion is significantly different from 13% at \(\alpha = 0.01](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F16eaad05-c857-4f7c-933f-0b1cc2121bed%2F8b000a6c-b974-40b8-87fd-16c7871a867b%2Fyph6er6_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Certainly! Here is a detailed transcription and explanation suitable for an educational website:
---
### Statistical Analysis: Ear Wiggling Among Millionaires
**Context:**
Only about 13% of the general population can wiggle their ears. A survey conducted with 364 millionaires revealed that 40 of them could wiggle their ears. We aim to determine if the proportion of ear-wiggling among millionaires is significantly different from the general population, using a significance level of \(\alpha = 0.01\).
#### Steps for Hypothesis Testing:
**a. Test Selection**
- For this study, select the appropriate statistical test to analyze the data.
**b. Formulating Hypotheses**
- **Null Hypothesis (\(H_0\)):** The population proportion of millionaires who can wiggle their ears is equal to 13%.
\[H_0 : p = 0.13\]
- **Alternative Hypothesis (\(H_1\)):** The population proportion of millionaires who can wiggle their ears is different from 13%.
\[H_1 : p \neq 0.13\]
**c. Calculation of Test Statistic**
- Calculate the test statistic and provide the answer to three decimal places.
**d. Determination of P-value**
- Compute the p-value and ensure it is presented to three decimal places.
**e. Comparison of P-value and Alpha**
- Analyze if the p-value is less than or equal to \(\alpha\).
**f. Decision Making**
- Based on the p-value, decide whether to reject the null hypothesis.
**g. Conclusion**
- Formulate the final conclusion based on the statistical analysis:
- \(\bigcirc\) The data suggest the population proportion is not significantly different from 13% at \(\alpha = 0.01\), indicating statistically insignificant evidence to conclude that the population proportion of millionaires who can wiggle their ears is different from 13%.
- \(\bigcirc\) The data suggest the population proportion is not significantly different from 13% at \(\alpha = 0.01\), indicating statistically significant evidence to conclude that the population proportion of millionaires who can wiggle their ears is equal to 13%.
- \(\bigcirc\) The data suggest the population proportion is significantly different from 13% at \(\alpha = 0.01
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