A movie opened the other day. So far 500,000 people have seen it. The producers of the movie need to know how many people liked it. A random sample of 8000 people were asked as they were leaving the theater if they liked the movie. if those interviewed 4200 enjoyed the movie. Predict the total number of people who have enjoyed the movie.
261,500 people
262,645 people
262,500 people
263,000 people
We can use cross-multiplication to find the predicted number of people who enjoyed the movie:
Number of people who enjoyed the movie / Total number of people = Sample number who enjoyed the movie / Sample size
Number of people who enjoyed the movie = (Sample number who enjoyed the movie / Sample size) x Total number of people
Number of people who enjoyed the movie = (4200/8000) x 500,000
Number of people who enjoyed the movie = 262,500
Therefore, the answer is 262,500 people.