Question

A new movie opened the other day. So far, 500,000 people have seen it. The producers of the movie needed to know if the people liked it. A random sample of 8,000 people were asked as they were leaving the theater if they liked the movie. Of those interviewed, 4,200 enjoyed the movie. Predict the total number of people who have enjoyed the movie.

Answer 1

Point estimate = x/sample size = 4200/8000 = 0.525 = 52.5%

If the same percentage of the population as that of the sample enjoyed the movie, then;

Prediction of those who enjoyed the movie is calculated from the same percentage. That is;

Total number of the people who enjoyed movie = 52.5% of 500,000 = 0.525*500,000 = 262,500