A psychologist is interested in constructing a 99% confidence interval for the proportion of people who accept the theory that a person's spirit is no more than the complicated network of neurons in the brain. 69 of the 739 randomly selected people who were surveyed agreed with this theory. Round answers to 4 decimal places where possible. a. With 99% confidence the proportion of all people who accept the theory that a person's spirit is no more than the complicated network of neurons in the brain is between 0.066 vand 0.121 b. If many groups of 739 randomly selected people are surveyed, then a different confidence interval would be produced from each group. About percent of these confidence intervals will contain the true population proportion of all people who accept the theory that a person's spirit is no more than the complicated network of neurons in the brain and about percent will not contain the true population proportion.

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please answer by hand and calculotr if possible... b) do I find +- ME? thanks 

**Text Transcription for Educational Website**

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A psychologist is interested in constructing a 99% confidence interval for the proportion of people who accept the theory that a person's spirit is no more than the complicated network of neurons in the brain. 69 of the 739 randomly selected people who were surveyed agreed with this theory. Round answers to 4 decimal places where possible.

**a.** With 99% confidence, the proportion of all people who accept the theory that a person's spirit is no more than the complicated network of neurons in the brain is between **0.066** and **0.121**.

**b.** If many groups of 739 randomly selected people are surveyed, then a different confidence interval would be produced from each group. About [ ] percent of these confidence intervals will contain the true population proportion of all people who accept the theory that a person's spirit is no more than the complicated network of neurons in the brain, and about [ ] percent will not contain the true population proportion.

**Hint:** [Hints](#)  
**Video:** [Video](#) 

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**Explanation of Diagram:**

The image includes checkmark symbols inside boxes next to the numbers 0.121 and 0.066, indicating these values are part of the answer for the 99% confidence interval. The text boxes are used to fill in numerical answers, and links are provided for additional hints and a video explanation.
Transcribed Image Text:**Text Transcription for Educational Website** --- A psychologist is interested in constructing a 99% confidence interval for the proportion of people who accept the theory that a person's spirit is no more than the complicated network of neurons in the brain. 69 of the 739 randomly selected people who were surveyed agreed with this theory. Round answers to 4 decimal places where possible. **a.** With 99% confidence, the proportion of all people who accept the theory that a person's spirit is no more than the complicated network of neurons in the brain is between **0.066** and **0.121**. **b.** If many groups of 739 randomly selected people are surveyed, then a different confidence interval would be produced from each group. About [ ] percent of these confidence intervals will contain the true population proportion of all people who accept the theory that a person's spirit is no more than the complicated network of neurons in the brain, and about [ ] percent will not contain the true population proportion. **Hint:** [Hints](#) **Video:** [Video](#) --- **Explanation of Diagram:** The image includes checkmark symbols inside boxes next to the numbers 0.121 and 0.066, indicating these values are part of the answer for the 99% confidence interval. The text boxes are used to fill in numerical answers, and links are provided for additional hints and a video explanation.
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