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.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.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.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.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.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.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.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.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.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.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.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.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.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.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.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.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.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.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.

Based on the sample data, we can set up a proportion to estimate the total number of people who enjoyed the movie:

4,200/8,000 = x/500,000

Solving for x, we get:

x = (4,200/8,000) * 500,000

x ≈ 262,500

Therefore, we can estimate that around 262,500 people have enjoyed the movie so far.

To predict the total number of people who have enjoyed the movie, we can use the concept of sampling proportions.

Step 1: Calculate the proportion of people who enjoyed the movie in the sample.
Proportion in sample = Number of people who enjoyed the movie in the sample / Total number of people in the sample
Proportion in sample = 4,200 / 8,000

Step 2: Use the proportion in the sample to estimate the total number of people who have enjoyed the movie.
Estimated total = Proportion in sample x Total number of people who have seen the movie
Estimated total = (4,200 / 8,000) x 500,000

Calculating the estimated total:

Step 1: Calculate the proportion in the sample.
Proportion in sample = 4,200 / 8,000
Proportion in sample = 0.525

Step 2: Use the proportion in the sample to estimate the total number of people who have enjoyed the movie.
Estimated total = 0.525 x 500,000
Estimated total = 262,500

Therefore, the estimated total number of people who have enjoyed the movie is 262,500.