In a survey of 2083 adults in a recent year, 1300 say they have made a New Year's resolution. **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 \(\_\_\_\_\_\_\_\) of adults who say they have made a New Year's resolution is within the given confidence interval. - [ ] sample proportion - [ ] population proportion Compare the widths of the confidence intervals. Choose the correct answer below. - 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. *Click to select your answer(s).* --- *Section 7.4 Homework* *Section 7.5 Homework* --- **Diagram Explanation:** There is a dropdown menu option to choose between "sample proportion" and "population proportion" and multiple-choice options to compare the widths of the confidence intervals.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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In a survey of 2083 adults in a recent year, 1300 say they have made a New Year's resolution.

**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 \(\_\_\_\_\_\_\_\) of adults who say they have made a New Year's resolution is within the given confidence interval.

- [ ] sample proportion
- [ ] population proportion

Compare the widths of the confidence intervals. Choose the correct answer below.

- 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.

*Click to select your answer(s).*

---

*Section 7.4 Homework*

*Section 7.5 Homework*

---

**Diagram Explanation:**

There is a dropdown menu option to choose between "sample proportion" and "population proportion" and multiple-choice options to compare the widths of the confidence intervals.
Transcribed Image Text:In a survey of 2083 adults in a recent year, 1300 say they have made a New Year's resolution. **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 \(\_\_\_\_\_\_\_\) of adults who say they have made a New Year's resolution is within the given confidence interval. - [ ] sample proportion - [ ] population proportion Compare the widths of the confidence intervals. Choose the correct answer below. - 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. *Click to select your answer(s).* --- *Section 7.4 Homework* *Section 7.5 Homework* --- **Diagram Explanation:** There is a dropdown menu option to choose between "sample proportion" and "population proportion" and multiple-choice options to compare the widths of the confidence intervals.
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