Question

Box-office. The Walt Disney Company, the production studio behind the Marvel Cinematic Universe, is trying to find the best release date for their new super hero movie. They are hesitating between the summer and winter holiday release, and they want to know if there is any difference between the earning potential during those seasons. The analytics division in the company examined box-office data for movies released during the past 5 years in the USA and Canada and found that 50 out of 1253 movies with summer release date earned over 400 million dollars. They also counted that out of 540 movies released in the winter, 10 earned over 400 million dollars. Round all answers to four decimal places.

	Over 400 million USD	Under 400 million USD	Total
Summer release	50		1253
Winter release	10		540
Total

1. We want to investigate whether there is a difference in the proportion of movies that earn over 400 million dollars for the two release seasons. Which hypotheses should we use?

H0H0: The variables  ? Release season and Box-office USA and Canada Release season and Year Box-office and Production studio  are  ? independent not independent . The difference in the proportions of movies that earned over 400 million dollars in the sample data  ? is is not  due to chance.

HAHA: The variables are  ? independent not independent . The difference in the proportions of movies that earned over 400 million dollars  ? is is not  due to chance.

2. Calculate the difference in the proportions of movies that earned over 400 million dollars: p^Summerp^Summer- p^Winterp^Winter =

3. The paragraph below describes the set up for a randomization test, if we were to conduct a hypothesis test without using software. Fill in the blanks with a number.

We write Summer on  cards and cards representing the movies with summer release date, and Winter on  cards. Then, we shuffle these cards and split them into two groups: one group of size  representing the movies with box-office over 400 million dollars, and another group of size  representing the rest of the movies. We calculate the difference in the proportions of movies that earned over 400 million dollars during the two release seasons to get p^Summerp^Summer- p^Winterp^Winter. Finally, we build a histogram of these simulated differences. Use the Two Proportion Resampling Test app embedded below to do this.

Answer 1

ANSWER :

Box-office. The Walt Disney Company, the production studio behind the Marvel Cinematic Universe, is trying to find the best release date for their new super hero movie.

	Over 400 million USD	Under 400 million	Total
Summer	50	1253-50=1203	1253
Winter	10	540-10=530	540
Total	60	1733	1793

(1) Hypothesis:

Where,

 = Proportion of movie that earned over 400 million USD in summer.

= Proportion of movie that earned over 400 million USD in winter.

[can you please provide option,I am not able to judge what exact answer require to fill the blanks].

The difference in the proportion of movie that earned over 400 million dollars in the sample data is due to chance.

The difference in the proportion of movies that earned over 400 million dollars is not due to chance.

(2)

(3)

We write summer on 1253 cards and winter on 540 cards, that we shuffles one group of size 60 representing movies and another group of size 1793 representing rest of movies.....