To find the number of sports fans expected to say that basketball is their favorite sport, given that Brett hypothesized [tex]\(15\%\)[/tex] of sports fans liked basketball the best, you need to calculate [tex]\(15\%\)[/tex] of 500.
Here's the step-by-step solution:
1. Identify the total number of sports fans surveyed, which is 500.
2. Determine the percentage of fans who like basketball the best, which is [tex]\(15\%\)[/tex].
3. Convert the percentage into a decimal by dividing by 100. So, [tex]\(15\%\)[/tex] becomes [tex]\(0.15\)[/tex].
4. Multiply the total number of sports fans by the decimal form of the percentage to find the expected number of basketball fans.
[tex]\[
\text{Expected number of basketball fans} = 500 \times 0.15
\][/tex]
Given the numerical result (75.0), the correct calculation is:
[tex]\[
500 \times 0.15 = 75
\][/tex]
Therefore, the correct answer is:
C. [tex]\((500)(0.15)\)[/tex]
