29. employment statistics can relate valuable information about the economy. in times of prosperity…

29. employment statistics can relate valuable information about the economy. in times of prosperity, employment usually increases. however, in some industries, jobs may decrease even in times of prosperity if the production of goods to satisfy needs and wants is changing. a recent statistical abstract of the united states contains the following employment data for sectors of the u.s. economy for a four - year span.\n\nindustry\tyear 1\tyear 4\nwholesale/retail\t20.0\t20.7\nfinance/real estate\t9.4\t9.7\ntransportation and utilities\t7.4\t7.0\nconstruction\t9.9\t10.1\nmanufacturing\t19.6\t16.9\neducation and health services\t26.2\t28.3\nprofessional, business and other services\t20.1\t20.7\n\n1. calculate the percentage of change in each of the categories and record it in the table. round off your
Answer
Explanation:
Step1: Recall percentage - change formula
The formula for percentage change is $\text{Percentage Change}=\frac{\text{New Value}-\text{Old Value}}{\text{Old Value}}\times100%$.
Step2: Calculate for Wholesale/Retail
For Wholesale/Retail, Old Value = 20.0, New Value = 20.7. $\text{Percentage Change}=\frac{20.7 - 20.0}{20.0}\times100%=\frac{0.7}{20.0}\times100% = 3.5%\approx4%$.
Step3: Calculate for Finance/Real Estate
For Finance/Real Estate, Old Value = 9.4, New Value = 9.7. $\text{Percentage Change}=\frac{9.7 - 9.4}{9.4}\times100%=\frac{0.3}{9.4}\times100%\approx3.2%\approx3%$.
Step4: Calculate for Transportation and Utilities
For Transportation and Utilities, Old Value = 7.4, New Value = 7.0. $\text{Percentage Change}=\frac{7.0 - 7.4}{7.4}\times100%=\frac{- 0.4}{7.4}\times100%\approx - 5.4%\approx - 5%$. The absolute - value is 5%.
Step5: Calculate for Construction
For Construction, Old Value = 9.9, New Value = 10.1. $\text{Percentage Change}=\frac{10.1 - 9.9}{9.9}\times100%=\frac{0.2}{9.9}\times100%\approx2.02%\approx2%$.
Step6: Calculate for Manufacturing
For Manufacturing, Old Value = 19.6, New Value = 16.9. $\text{Percentage Change}=\frac{16.9 - 19.6}{19.6}\times100%=\frac{-2.7}{19.6}\times100%\approx - 13.78%\approx - 14%$. The absolute - value is 14%.
Step7: Calculate for Education and Health Services
For Education and Health Services, Old Value = 26.2, New Value = 28.3. $\text{Percentage Change}=\frac{28.3 - 26.2}{26.2}\times100%=\frac{2.1}{26.2}\times100%\approx8.02%\approx8%$.
Step8: Calculate for Professional, Business and other Services
For Professional, Business and other Services, Old Value = 20.1, New Value = 20.7. $\text{Percentage Change}=\frac{20.7 - 20.1}{20.1}\times100%=\frac{0.6}{20.1}\times100%\approx3.0%\approx3%$.
Answer:
| INDUSTRY | PERCENTAGE OF CHANGE |
|---|---|
| Wholesale/Retail | 4% |
| Finance/Real Estate | 3% |
| Transportation and Utilities | 5% |
| Construction | 2% |
| Manufacturing | 14% |
| Education and Health Services | 8% |
| Professional, Business and other Services | 3% |