5. (12 points) We want to test if there is a relationship between gender and being a vegetarian or not. A random sample is taken and the following two-way table was produced. Gender * Are you a vegetarian? Crosstabulation Are you a vegetarian? Yes NO Total Gender Male Count 30 Expected Count 27.9 34.0 Female Count 3 3 Expected Count 27.1 33.0 Total Count Expected Count 12.0 55.0 67.0 a) (2 pts) What are the degrees of freedom for a chi-squared test using this table? b) (2 pts) Are the conditions for a chi-square test met? YES NO (no explanation needed) c) (2 pts) What percentage of the females in this sample are vegetarians (i.e. find this row percentage) Show work. m