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

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**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.)
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