Please show work where applicable!

Hypothesis Testing Proposal. (3 points] You have constructed a neural network that predicts the nal GPA of college students based on a cognitive assessment that includes analyses of decision making on political issues and engagement with social activities. The political issues portion of the study ranks the tendency of a student to support authoritarianism. Results were grouped into the categories likely to support authoritarianism. \"Likely,\" and unlikely to support authoritarianism, \"Unlikely.\" The engagement with social activities portion of the study similarly grouped results as \"highly engaged\" in social activities= and \"less engaged\" in social activities. The dependent variable used was the final GPA of the student. [00 students took part in the study= but all students were from a BS in Computer Science program that is known to have authoritarian classroom structures. Further, all participants in the study were white men between the ages of 18 and 22. To properly train the neural network without bias will require data from students of various backgrounds and ages who have varying majors at multiple universities. Collecting this data will be extremely costly. so you are requesting a grant to cover the cost. In your grant proposal= you use a 2X2 factorial design grid to show differences in effects. The dependent variable is reported as a mean in the grid. Highly engaged Less Engaged 3.4 2.2 a. Define a possible he and h1 using the likelyfhighiy engaged score and the unlikelyfless engaged scores. b. What are the main effects shown in the grid? All calculations must be shown. c. What is the global effect shown in the grid? All calculations must be shown