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According to the table, which profession is expected to lose the highest percentage of jobs?

A. Postal service mail carriers
B. Data entry keyers
C. Sewing machine operators
D. Postal service clerks

\[
\begin{array}{|l|c|c|c|c|c|}
\hline
\text{Farmers, ranchers, and other agricultural managers} & 930.6 & 750.7 & -179.9 & -19.3 & \$69,300 \\
\hline
\text{Postal service mail carriers} & 295.1 & 215.8 & -79.2 & -26.8 & \$56,490 \\
\hline
\text{Data entry keyers} & 220.3 & 166.1 & -54.2 & -24.6 & \$28,010 \\
\hline
\text{Sewing machine operators} & 161.4 & 119.7 & -41.7 & -25.8 & \$21,270 \\
\hline
\text{Postal service mail sorters, processors, and processing machine operators} & 129.6 & 91.0 & -38.6 & -29.8 & \$53,090 \\
\hline
\text{Farmworkers and laborers, crop, nursery, and greenhouse} & 596.8 & 567.6 & -29.2 & -4.9 & \$18,670 \\
\hline
\text{Word processors and typists} & 104.4 & 78.2 & -26.2 & -25.1 & \$35,270 \\
\hline
\text{Postal service clerks} & 66.9 & 45.7 & -21.3 & -31.8 & \$53,090 \\
\hline
\end{array}
\]

Answer :

To determine which profession is expected to lose the highest percentage of jobs, we can look at the percentage decrease of jobs for each profession listed in the table. Here’s a step-by-step guide to solving this problem:

1. Identify the Job Loss Numbers: The table provides information about the initial and projected employment numbers for various professions. It also lists the change in job numbers (a negative value indicates a job loss) and the percentage change.

2. Calculate the Percentage Change (if needed):
- For each profession, you divide the change in the number of jobs by the initial number of jobs, and then multiply by 100 to convert it to a percentage.
- This formula looks like this:
[tex]\[
\text{Percentage Change} = \left(\frac{\text{Change in Jobs}}{\text{Initial Jobs}}\right) \times 100
\][/tex]

3. Check Each Profession:
- Postal Service Mail Carriers: They have a percentage change of -26.8% of the initial jobs (in percentage form this is approximately -12.42%).
- Data Entry Keyers: Their percentage change is -24.6% of the initial jobs (approximately -14.81%).
- Sewing Machine Operators: The percentage change here is -25.8% of the initial jobs (approximately -21.55%).
- Postal Service Clerks: Their percentage change is -31.8% of the initial jobs (approximately -69.58%).

4. Determine the Highest Job Loss Percentage: Once we have calculated the percentage changes for each profession, we compare them. The profession with the largest negative number is losing the highest percentage of jobs.

Based on the analysis, Postal Service Clerks are expected to lose the highest percentage of jobs, with a job loss percentage of approximately -69.58%. This is significantly higher than the others.

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