Activity 1: Hollywood movies - Comedies Over 900 movies came out of Hollywood be

Question

Activity 1: Hollywood movies - Comedies

Over 900 movies came out of Hollywood between 2007 and 2013, and we have information on all of them. Of the 691 movies that list a genre, 177 are classified as comedies.

What proportion of Hollywood movies with genres listed in this period were comedies?

Is this a sample proportion or a population proportion?

If we took many samples of size 50 from the population of all Hollywood movies with genres listed from this period and recorded the proportion of comedies for each sample, what shape do we expect the distribution of sample proportions to have?

Where do we expect the distribution from part (3) to be centered?

Explanation / Answer

Answer with detailed explanations:

1. p = 177/691 = .2562

2. This is a population proportion since the whole population is being considered

3. According to the central limit theorm sample proportion will be normally distributed

4. In part(3) we expect the sample distribution to be centered around the population
mean i.e. at .2562. This is because mean of sampling distributoin and population distribution is same.

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