Audrey asked some students at her school whether they prefer to watch TV shows or movies. She also asked whether they prefer action or comedy. This table shows the results.

TV shows Movies Total
Action 6 18 24
Comedy 18 14 32
Total 24 32 60
Use the table to complete the sentence.
Students who prefer TV shows are more likely to prefer
because
of students who prefer TV shows also prefer action while
of students who prefer TV shows prefer comedy instead.
action, comdy,
18,25,75,82

1 answer

To complete the sentence, we need to analyze the data from the table regarding students' preferences.

From the table:

  • Students who prefer TV shows:
    • Action: 6
    • Comedy: 18
    • Total: 24

Now, let's calculate the proportions:

  • Students who prefer TV shows and prefer action:

    • Proportion = 6 (action) out of 24 (total TV show preferences) = \( \frac{6}{24} = 0.25 \) or 25%.
  • Students who prefer TV shows and prefer comedy:

    • Proportion = 18 (comedy) out of 24 (total TV show preferences) = \( \frac{18}{24} = 0.75 \) or 75%.

Now we can fill in the sentence:

"Students who prefer TV shows are more likely to prefer comedy because 75% of students who prefer TV shows also prefer comedy while 25% of students who prefer TV shows prefer action instead."