Sufficient evidence of difference between two variables.
Determine whether there is sufficient evidence of difference between two variables. For part 1, you will develop a research question and select bivariate data for analysis. Your research question and data selection must be approved by the instructor.
1. Research question:
To develop your research question, consider things that you are interested in or wondering about that may be answered with bivariate (two sets of) data.
Some possible student research questions are:
· Do movies with a higher production budget result in a higher worldwide gross revenue?
· Do NFL athletes with higher QB performance have higher salaries?
· Do states with a higher college degree rate have a lower poverty rate?
· Do Coca-Cola beverages with higher sugar content have more calories?
· Do countries that consume more coffee per capita have longer working hours?
· Does a doctor with more residential training have higher salaries in New York?
· Do cars with more engine horsepower have higher average miles per gallon?
· Do counties, states, or regions with higher college degree rates have higher median income?
· Do countries with higher women’s education levels have lower infant mortality rates?
· Do heavier baseball players have higher hitting averages?
· Do soccer players with a higher FIFA rating earn more money?
Sample Solution
Research question:- Do movies with a higher production budget result in a higher worldwide gross revenue?
- The production budget of a movie (in millions of dollars)
- The worldwide gross revenue of a movie (in millions of dollars)
- The Box Office Mojo website: https://www.boxofficemojo.com/
- There is a positive correlation between the production budget of a movie and its worldwide gross revenue.
- I will use a Pearson correlation coefficient to test the hypothesis.
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.
- 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.
- 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.