6. Of 1,050 randomly selected adults, 360 identified themselves as manual laborers, 280 identified themselves as non-manual wage earners, 250 identified themselves as mid-level managers, and 160 identified themselves as executives. In the survey, 82% of manual laborers preferred trucks, 62% of non-manual wage earners preferred trucks, 54% of mid-level managers preferred trucks, and 26% of executives preferred trucks. We are interested in the true percent of executives who prefer trucks. a. Identify the following: x = n =. p , b. Find a 99% confidence interval for the percent of executives who prefer trucks. Solution A P(1-p) Identify values to plug into the formula p ±( z«), Write solution first as p ± EBP: Writo into

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Of 1,050 randomly selected adults, 360 identified themselves as manual laborers, 280 identified themselves as non-manual wage earners, 250 identified themselves as mid-level managers, and 160 identified themselves as executives. In the survey, 82% of manual laborers preferred trucks, 62% of non-manual wage earners preferred trucks, 54% of mid-level managers preferred trucks, and 26% of executives preferred trucks. We are interested in the true percent of executives who prefer trucks.

a. Identify the following: \( x = \_\_\_\_\_\_\_\_\_\_\_\_ \)  \( n = \_\_\_\_\_\_\_ \)  \( \hat{p} = \_\_\_\_\_\_\_\_\_ \)

b. Find a 99% confidence interval for the percent of executives who prefer trucks.

**Solution A**

Identify values to plug into the formula \( \hat{p} \pm \left( \frac{z_{\frac{\alpha}{2}}}{2} \right) \sqrt{\frac{\hat{p}(1-\hat{p})}{n}} \)

Write solution first as \( \hat{p} \pm EBP: \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ \)

Write solution in interval notation: \( (\_\_\_\_\_\_\_\_, \_\_\_\_\_\_\_\_) \)
Transcribed Image Text:Of 1,050 randomly selected adults, 360 identified themselves as manual laborers, 280 identified themselves as non-manual wage earners, 250 identified themselves as mid-level managers, and 160 identified themselves as executives. In the survey, 82% of manual laborers preferred trucks, 62% of non-manual wage earners preferred trucks, 54% of mid-level managers preferred trucks, and 26% of executives preferred trucks. We are interested in the true percent of executives who prefer trucks. a. Identify the following: \( x = \_\_\_\_\_\_\_\_\_\_\_\_ \) \( n = \_\_\_\_\_\_\_ \) \( \hat{p} = \_\_\_\_\_\_\_\_\_ \) b. Find a 99% confidence interval for the percent of executives who prefer trucks. **Solution A** Identify values to plug into the formula \( \hat{p} \pm \left( \frac{z_{\frac{\alpha}{2}}}{2} \right) \sqrt{\frac{\hat{p}(1-\hat{p})}{n}} \) Write solution first as \( \hat{p} \pm EBP: \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ \) Write solution in interval notation: \( (\_\_\_\_\_\_\_\_, \_\_\_\_\_\_\_\_) \)
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