Does favorite food depend on your gender? A survey asks a group of college students about their favorite foods. It also groups the students by their gender. The data are recorded in the contingency table below, and a chi-square Test of Independence at the
1
%
significance level is performed.



Sushi

Pizza

Hamburgers

Row Total

Men

19

12

14

45

Women

18

10

7

35

Column Total

37

22

21

80

(a) Select the correct null and alternative hypotheses for this test.


Select all that apply:

H
a
: The two variables are dependent, so gender does affect favorite food.

H
a
: The two variables are independent, so gender does not affect favorite food.

H
0
: The two variables are dependent, so gender does affect favorite food.

H
0
: The two variables are independent, so gender does not affect favorite food.