Use the table to answer the question.
Type of Movie Number of Visitors
Comedy 12
Action 5
Drama 3
Horror 0
Mystery 18
Thriller 7
Romance 5
A theater owner took a survey of the types of movies their visitors like. Predict how many visitors would like a comedy if they surveyed 1,275 students.
(1 point)
To predict how many visitors would like a comedy if they surveyed 1,275 students, we can calculate the proportion of visitors who like comedy in the current sample and apply it to the larger group.
In the current sample:
Total number of visitors = 12 + 5 + 3 + 0 + 18 + 7 + 5 = 50
Number of visitors who like comedy = 12
Proportion of visitors who like comedy = Number of visitors who like comedy / Total number of visitors = 12 / 50 = 0.24
If we apply this proportion to the larger group of 1,275 students:
Predicted number of visitors who would like a comedy = Proportion of visitors who like comedy * Total number of students in the larger group = 0.24 * 1,275 = 306
So, we predict that 306 visitors out of 1,275 students would like a comedy if they were surveyed.