MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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**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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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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