Answer :
We start by identifying the percentage change in employment for each profession:
[tex]$$
\begin{array}{ll}
\text{Data entry keyers:} & -24.6\% \\
\text{Sewing machine operators:} & -25.8\% \\
\text{Postal service mail carriers:} & -29.8\% \\
\text{Postal service clerks:} & -31.8\%
\end{array}
$$[/tex]
A higher percentage loss means that the value is more negative. Comparing the values:
- Data entry keyers: [tex]$-24.6\%$[/tex]
- Sewing machine operators: [tex]$-25.8\%$[/tex]
- Postal service mail carriers: [tex]$-29.8\%$[/tex]
- Postal service clerks: [tex]$-31.8\%$[/tex]
The lowest (i.e., the most negative) percentage is [tex]$-31.8\%$[/tex].
Thus, the profession expected to lose the highest percentage of jobs is:
[tex]$$\textbf{Postal service clerks.}$$[/tex]
[tex]$$
\begin{array}{ll}
\text{Data entry keyers:} & -24.6\% \\
\text{Sewing machine operators:} & -25.8\% \\
\text{Postal service mail carriers:} & -29.8\% \\
\text{Postal service clerks:} & -31.8\%
\end{array}
$$[/tex]
A higher percentage loss means that the value is more negative. Comparing the values:
- Data entry keyers: [tex]$-24.6\%$[/tex]
- Sewing machine operators: [tex]$-25.8\%$[/tex]
- Postal service mail carriers: [tex]$-29.8\%$[/tex]
- Postal service clerks: [tex]$-31.8\%$[/tex]
The lowest (i.e., the most negative) percentage is [tex]$-31.8\%$[/tex].
Thus, the profession expected to lose the highest percentage of jobs is:
[tex]$$\textbf{Postal service clerks.}$$[/tex]