Let's analyze each statement based on the poll data provided in the table:
Poll on Book-to-Movie Adaptation
\begin{tabular}{|l|c|c|c|c|}
\cline { 2 - 5 } \multicolumn{1}{c|}{} & \begin{tabular}{c}
Preferred the \\
Book
\end{tabular} & \begin{tabular}{c}
Preferred the \\
Movie
\end{tabular} & \begin{tabular}{c}
Liked Both \\
Equally
\end{tabular} & Total \\
\hline Men & 56 & 35 & 18 & 109 \\
\hline Women & 28 & 35 & 8 & 71 \\
\hline Total & 84 & 70 & 26 & 180 \\
\hline
\end{tabular}
Statement I: A greater number of men liked both equally compared with those who preferred the movie.
We compare the number of men who liked both equally (18) with the number of men who preferred the movie (35). Since 18 is not greater than 35, this statement is false.
Statement II: Twice as many men preferred the book compared with women.
We compare the number of men who preferred the book (56) with twice the number of women who preferred the book (2 * 28 = 56). Since both numbers are equal, this statement is true.
Statement III: A greater number of women preferred the book to the movie.
We compare the number of women who preferred the book (28) to the number of women who preferred the movie (35). Since 28 is less than 35, this statement is false.
Statement V: An equal number of men and women preferred the movie.
We check if the number of men who preferred the movie (35) is equal to the number of women who preferred the movie (35). Since both numbers are equal, this statement is true.
Thus, the correct answers are statements II and V. Therefore, the results are:
1. False
2. True
3. False
5. True
