Sufficient evidence of difference between two variables.

Full Answer Section

  Expected results:
  • If the hypothesis is correct, I would expect to see a positive correlation between the production budget of a movie and its worldwide gross revenue. This means that movies with higher production budgets would tend to have higher worldwide gross revenues.
Conclusion:
  • The results of the statistical test will determine whether there is sufficient evidence to support the hypothesis. If the correlation coefficient is statistically significant, then there is sufficient evidence to support the hypothesis that movies with a higher production budget result in a higher worldwide gross revenue.
Additional considerations:
  • It is important to note that there are other factors that can affect the worldwide gross revenue of a movie, such as the quality of the movie, the marketing campaign, and the release date. These factors should be considered when interpreting the results of the statistical test.
  • I would also like to consider the distribution of the data. If the data is not normally distributed, then I will need to use a non-parametric statistical test.

Sample Solution

  Research question:
  • Do movies with a higher production budget result in a higher worldwide gross revenue?
Bivariate data:
  • The production budget of a movie (in millions of dollars)
  • The worldwide gross revenue of a movie (in millions of dollars)
Data source:
  • The Box Office Mojo website: https://www.boxofficemojo.com/
Hypothesis:
  • There is a positive correlation between the production budget of a movie and its worldwide gross revenue.
Statistical test:
  • I will use a Pearson correlation coefficient to test the hypothesis.

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