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 . 929175 In: an "ml: 0 2 Points Given the graphical and numerical displays above, what can be said about the researcher's claim? 0 There is sufcient evidence to claim that there is a difference in the average movie budget for the two populations, movies that pass the Bechdel test and movies that do not pass the Bechdel test. 0 There is sufcient evidence to claim that there is not a difference in the average movie budget for the two populations, movies that pass the Bechdel test and movies that do not pass the Bechdel test. 0 There is not sufficient evidence to claim that there is a difference in the average movie budget for the two populations, movies that pass the Bechdel test and movies that do not pass the Bechdel test. 0 There is not sufficient evidence to claim that there is not a difference in the average movie budget for the two populations, movies that pass the Bechdel test and movies that do not pass the Bechdel test. 0 More information is needed to assess the researcher's claim. L r'UIIILb The researchers noted that the condition about obtaining observations from a nearly-normal population would not be met for these two samples. They know that having a large sample size relaxes this condition. A large sample size lets us relax this condition because, when the sample size is large, the distribution of 0 population mean movie budgets 0 sample mean movie budgets O the population of movie budgets O the sample of movie budgets for each of the two groups will be nearly-normal