Question 4(40 points)

Students in a high school were asked whether good grades, athletic ability, or popularity was most important to them. A two-way table separating the students by gender and by choice of most important factor (factor) is shown below:

Boys

Girls

Grades

12

16

Popularity

16

32

Sports

30

14

100

For the data above, do the following

a.Calculate the row and column totals

b.Calculate gender by factor percentages

c.Calculate factor by gender percentages

d.What is the test to be done to determine whether is an association between gender and factor?

e.What are the degrees of freedom for that test (show formula and calculation)

f.Have a table of expected frequencies

g.Have a table ofc²values (calculatec²for each cell)

h.What is the total calculatedc²?