04 Movie Budgets & the Bechdel Test for Gender Bias 12 Points The following data was collected from available data posted to a website about The Bechdel Test. The Bechdel Test is a way to measure if a movie's female characters have some depth to them, based on 3 criteria. It was developed to help understand gender bias in movies. In this data set, a movie is coded \"Pass\" if it passes all 3 criteria, and a movie is coded "Fail\" if it does not pass all 3 criteria. This information can be found in a variable called binary (binary has two levels PASS and FAIL). Also included in the data are several other variables, including the movie budget in millions of US. dollars. A research team at the university is tasked with understanding this data set and understanding if there is enough evidence to claim that there is a difference in the average movie budget in USD for the two populations of movies, those that pass the Bechdel Test and those that do not. Use the following R output to answer the questions below. Histogram of Budget for Movies that Fall the Bechdel Test 300 Frequency 100 200 0 Budget in Millions of US Dollars mean ( movies$budget [ movies$binary == "FAIL"]) 50 . 41529 Histogram of Budget for Movies that Pass the Bechdel Test 300 200 Frequency 100 O 0 50 100 150 200 250 300 Budget in Millions of US Dollars mean (movies$budget [movies$binary == "PASS" ]) 37 . 9291704.1 2 Points The variable budget is a/an (select all that apply) Numerical variable Categorical variable Explanatory variable Response variable Confounding variable 04.2 2 Points The variable binary is a/an (select all that apply) Numerical variable Categorical variable Explanatory variable Response variable Confounding variable