An accounting teacher claims to give grades in the following distribution for each section she teaches: 20% A’s, 40% B’s, 25% C’s, 10% D’s and the rest F’s. The table (photo attached below) gives the...

An accounting teacher claims to give grades in the following distribution for each section she teaches: 20% A’s, 40% B’s, 25% C’s, 10% D’s and the rest F’s.  The table (photo attached below) gives the number of each grade awarded for multiple sections one semester.

Part A) Conduct a goodness-of-fit test (combining all sections) to see if there is enough evidence to conclude she is not following the claimed distribution

Part B) Conduct an independence test to see if the grade distribution is independent or dependent on section.