State whether the following statement is true or false, and explain why. If the statement isfalse, state the true change.
A high school reports that its students' SAT scores were down by
6%
in one year. The next year, however, the test scores rose by
17%.
The high school principal announces, "Overall, test scores have improved by
11%
over the past two years."
Question content area bottom
Part 1
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A.
The statement is true because
17−66=11
and the percentage improvement is given by the difference in the percentages of the increase and decrease.
B.
The statement is false because the reference values for the decrease and increase are not the same. The true improvement over the past two years is
enter your response here%.
(Simplify your answer. Type an integer or decimal rounded to the nearest hundredth as needed.)