Smoking Survey National statistics show that 23% of men smoke and 18.5% of women do. A random sample of 145 men indicated that 33 were smokers, and of 114 women surveyed, 12 indicated that they smoked. Part: 0/2 Part 1 of 2 Construct a 96% confidence interval for the true difference in proportions of male and female smokers. Use p₁ for the proportion of men who smoke. Round your answers to three decimal places. 22

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**Smoking Survey**

National statistics show that 23% of men smoke and 18.5% of women do. A random sample of 145 men indicated that 33 were smokers, and of 114 women surveyed, 12 indicated that they smoked.

**Part: 0 / 2**

*Part 1 of 2*

Construct a 96% confidence interval for the true difference in proportions of male and female smokers. Use \( \hat{p}_1 \) for the proportion of men who smoke. Round your answers to three decimal places.

\[ 22 < \hat{p}_1 - \hat{p}_2 < 22 \]

**Part: 1 / 2**

*Part 2 of 2*

Comment on your interval—does it support the claim that there is a difference?

(Choose one) since 0 (Choose one) contained in the interval, it allows for the possibility that there is (Choose one) between the proportions of men and women who smoke.

There are no graphs or diagrams in the image. The focus is on constructing a confidence interval and interpreting its significance.
Transcribed Image Text:**Smoking Survey** National statistics show that 23% of men smoke and 18.5% of women do. A random sample of 145 men indicated that 33 were smokers, and of 114 women surveyed, 12 indicated that they smoked. **Part: 0 / 2** *Part 1 of 2* Construct a 96% confidence interval for the true difference in proportions of male and female smokers. Use \( \hat{p}_1 \) for the proportion of men who smoke. Round your answers to three decimal places. \[ 22 < \hat{p}_1 - \hat{p}_2 < 22 \] **Part: 1 / 2** *Part 2 of 2* Comment on your interval—does it support the claim that there is a difference? (Choose one) since 0 (Choose one) contained in the interval, it allows for the possibility that there is (Choose one) between the proportions of men and women who smoke. There are no graphs or diagrams in the image. The focus is on constructing a confidence interval and interpreting its significance.
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