To determine which statement is false, we need to review the data presented in the table and compare each statement to the information given:
### Review of the Table
[tex]\[
\begin{tabular}{|c|c|c|c|c|}
\hline & Biology & Chemistry & \begin{tabular}{c}
Physical \\
science
\end{tabular} & Total \\
\hline Freshman & 0.15 & 0.1 & 0.2 & 0.45 \\
\hline Sophomores & 0.2 & 0.25 & 0.1 & 0.55 \\
\hline Total & 0.35 & 0.35 & 0.3 & 1.0 \\
\hline
\end{tabular}
\][/tex]
### Assess Each Statement
Statement A: [tex]\(35\% \)[/tex] of her students are in biology.
- From the table, the total percentage of students in biology is given as 0.35 (or 35%).
Therefore, Statement A is true.
Statement B: [tex]\( 35\% \)[/tex] of her students are in chemistry.
- From the table, the total percentage of students in chemistry is 0.35 (or 35%).
Therefore, Statement B is true.
Statement C: [tex]\( 55\% \)[/tex] of her students are sophomores.
- From the table, the total percentage of sophomores is 0.55 (or 55%).
Therefore, Statement C is true.
Statement D: [tex]\( 20\% \)[/tex] of her students are in physical science.
- From the table, the total percentage of students in physical science is 0.3 (or 30%).
Therefore, Statement D is false.
### Conclusion
Based on the information from the table, the false statement is:
D. [tex]\( 20\% \)[/tex] of her students are in physical science.
