A USA Today snapshot shows that men and women feel differently about driving in winter conditions, as shown in the following graphic. Suppose that the survey involved random samples of 500 men and 400 women who drive in snow 44% 44% MEN Very comfortable USE SALT WOMEN 23% Kind of comfortable Not too comfortable 10% Not comfortable at all 11% 2% 25% 41% Getting a grip on winter driving Men vs. women on how comfortable they are driving in winter conditions (a) Construct a 90% confidence interval for the difference in the proportion of men and women who are not comfortable at all driving in winter conditions. (Use Pmen - Pwomen Round your answers to three decimal places.) to [ (b) Construct a 99% confidence interval for the difference in the proportion of men and women who are not too comfortable driving in winter conditions. (Use Pmen - Pwomen Round your answers to three decimal places.) to

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
100%
**Winter Driving Comfort: A Gender Comparison**

A *USA Today* snapshot reveals that men and women have differing levels of comfort when driving in winter conditions. Based on a survey sample of 500 men and 400 women who drive in snow, the results are depicted in the graphic.

**Graphic Analysis:**

- **Comfort Levels:**
  - **Very Comfortable:** 44% of men vs. 23% of women
  - **Kind of Comfortable:** 44% of men vs. 41% of women
  - **Not Too Comfortable:** 10% of men vs. 25% of women
  - **Not Comfortable at All:** 2% of men vs. 11% of women

The graphic visually represents this data with a split image: the left half is blue for men, and the right half is pink for women. Percentages are shown on horizontal bars, with a snow car icon on the left, under the title "Getting a grip on winter driving."

---

**Statistical Exercises:**

(a) Construct a 90% confidence interval for the difference in the proportion of men and women who are not comfortable at all driving in winter conditions. (Use \( p_{\text{men}} - p_{\text{women}} \). Round your answers to three decimal places.)

(b) Construct a 99% confidence interval for the difference in the proportion of men and women who are not too comfortable driving in winter conditions. (Use \( p_{\text{men}} - p_{\text{women}} \). Round your answers to three decimal places.)
Transcribed Image Text:**Winter Driving Comfort: A Gender Comparison** A *USA Today* snapshot reveals that men and women have differing levels of comfort when driving in winter conditions. Based on a survey sample of 500 men and 400 women who drive in snow, the results are depicted in the graphic. **Graphic Analysis:** - **Comfort Levels:** - **Very Comfortable:** 44% of men vs. 23% of women - **Kind of Comfortable:** 44% of men vs. 41% of women - **Not Too Comfortable:** 10% of men vs. 25% of women - **Not Comfortable at All:** 2% of men vs. 11% of women The graphic visually represents this data with a split image: the left half is blue for men, and the right half is pink for women. Percentages are shown on horizontal bars, with a snow car icon on the left, under the title "Getting a grip on winter driving." --- **Statistical Exercises:** (a) Construct a 90% confidence interval for the difference in the proportion of men and women who are not comfortable at all driving in winter conditions. (Use \( p_{\text{men}} - p_{\text{women}} \). Round your answers to three decimal places.) (b) Construct a 99% confidence interval for the difference in the proportion of men and women who are not too comfortable driving in winter conditions. (Use \( p_{\text{men}} - p_{\text{women}} \). Round your answers to three decimal places.)
Expert Solution
steps

Step by step

Solved in 4 steps with 9 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman