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

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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.
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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