in a survey of 2003 adults in a recent year, 737 made a New Year's resolution to eat healthier. Construct 90% and 95% confidence intervals for the population proportion. Interpret the results and compare the widths of the confidence intervals. ..... The 90% confidence interval for the population proportion p is D (Round to three decimal places as needed.) The 95% confidence interval for the population proportion p is ( D. (Round to three decimal places as needed.) With the given confidence, it can be said that the V of adults who say they have made a New Year's resolution to eat healthier is of the given cor Compare the widths of the confidence intervals. C population proportion O A. The 90% confidence interval is wider. sample proportion O B. The 95% confidence interval is wider. O C. The confidence intervals cannot be compared. O D. The confidence intervals are the same width. Next

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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**Transcription of Educational Content:**

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In a survey of 2003 adults in a recent year, 737 made a New Year's resolution to eat healthier.

**Objective:** Construct 90% and 95% confidence intervals for the population proportion. Interpret the results and compare the widths of the confidence intervals.

1. **The 90% confidence interval for the population proportion \( p \) is \_\_\_\_\_ (Round to three decimal places as needed.)**

2. **The 95% confidence interval for the population proportion \( p \) is \_\_\_\_\_ (Round to three decimal places as needed.)**

3. **With the given confidence, it can be said that the \_\_\_\_ of adults who say they have made a New Year's resolution to eat healthier is \_\_\_\_ of the given confidence interval.**

4. **Compare the widths of the confidence intervals:**
   - A. The 90% confidence interval is wider.
   - B. The 95% confidence interval is wider.
   - C. The confidence intervals cannot be compared.
   - D. The confidence intervals are the same width.

(Select the appropriate option to answer.)

**Note:** There are no graphs or diagrams present in the content.

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Transcribed Image Text:**Transcription of Educational Content:** --- In a survey of 2003 adults in a recent year, 737 made a New Year's resolution to eat healthier. **Objective:** Construct 90% and 95% confidence intervals for the population proportion. Interpret the results and compare the widths of the confidence intervals. 1. **The 90% confidence interval for the population proportion \( p \) is \_\_\_\_\_ (Round to three decimal places as needed.)** 2. **The 95% confidence interval for the population proportion \( p \) is \_\_\_\_\_ (Round to three decimal places as needed.)** 3. **With the given confidence, it can be said that the \_\_\_\_ of adults who say they have made a New Year's resolution to eat healthier is \_\_\_\_ of the given confidence interval.** 4. **Compare the widths of the confidence intervals:** - A. The 90% confidence interval is wider. - B. The 95% confidence interval is wider. - C. The confidence intervals cannot be compared. - D. The confidence intervals are the same width. (Select the appropriate option to answer.) **Note:** There are no graphs or diagrams present in the content. ---
In a survey of 2003 adults in a recent year, 737 made a New Year's resolution to eat healthier. 

Construct 90% and 95% confidence intervals for the population proportion. Interpret the results and compare the widths of the confidence intervals.

The 90% confidence interval for the population proportion p is [ ].
(Round to three decimal places as needed.)

The 95% confidence interval for the population proportion p is [ ].
(Round to three decimal places as needed.)

With the given confidence, it can be said that the [dropdown menu] of adults who say they have made a New Year's resolution to eat healthier is [dropdown menu] of the given confidence interval.

Explanation of dropdown options:
- not between the endpoints
- between the endpoints
- greater than the lower endpoint
- less than the upper endpoint

The page also includes instructions for creating confidence intervals and a button labeled "Next" to proceed.
Transcribed Image Text:In a survey of 2003 adults in a recent year, 737 made a New Year's resolution to eat healthier. Construct 90% and 95% confidence intervals for the population proportion. Interpret the results and compare the widths of the confidence intervals. The 90% confidence interval for the population proportion p is [ ]. (Round to three decimal places as needed.) The 95% confidence interval for the population proportion p is [ ]. (Round to three decimal places as needed.) With the given confidence, it can be said that the [dropdown menu] of adults who say they have made a New Year's resolution to eat healthier is [dropdown menu] of the given confidence interval. Explanation of dropdown options: - not between the endpoints - between the endpoints - greater than the lower endpoint - less than the upper endpoint The page also includes instructions for creating confidence intervals and a button labeled "Next" to proceed.
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