Answer :
We need to determine which of the following professions loses the highest percentage of jobs. The options and their corresponding percentages from the table are:
- Postal service mail carriers: [tex]$-26.8\%$[/tex]
- Data entry keyers: [tex]$-24.6\%$[/tex]
- Sewing machine operators: [tex]$-25.8\%$[/tex]
- Postal service clerks: [tex]$-31.8\%$[/tex]
Since a loss is represented by a negative value, the greatest job loss corresponds to the most negative percentage. Comparing the percentages:
[tex]$$-26.8\%,\quad -24.6\%,\quad -25.8\%,\quad -31.8\%$$[/tex]
We see that [tex]$-31.8\%$[/tex] is the smallest (i.e., the most negative) value. Therefore, the profession with the highest percentage loss in jobs is:
[tex]$$\textbf{Postal service clerks}.$$[/tex]
- Postal service mail carriers: [tex]$-26.8\%$[/tex]
- Data entry keyers: [tex]$-24.6\%$[/tex]
- Sewing machine operators: [tex]$-25.8\%$[/tex]
- Postal service clerks: [tex]$-31.8\%$[/tex]
Since a loss is represented by a negative value, the greatest job loss corresponds to the most negative percentage. Comparing the percentages:
[tex]$$-26.8\%,\quad -24.6\%,\quad -25.8\%,\quad -31.8\%$$[/tex]
We see that [tex]$-31.8\%$[/tex] is the smallest (i.e., the most negative) value. Therefore, the profession with the highest percentage loss in jobs is:
[tex]$$\textbf{Postal service clerks}.$$[/tex]