Question

3. (i) In a random selected students in Mandalay University, while asking about his/her faculty, the following table was obtained.

Gender/Faculty	Commerce	Statistics	Management	Economics	Applied Economics
Male	60	30	20	15	10
Female	90	50	50	20	30

(a) What is this table called? What are their positive relationship between sex and major?

(b) How many observations are there for this study?

(c) How many female students are there for this study?

(d) How many variables are there for this study? Identify these variables.

(e) Are these variables qualitative or quantitative? Explain your answer.

(f) If these variables are qualitative, are they nominal or ordinal?

(g) What analysis do you apply when you want to study the relationship between gender and faculty?

Answer 1

a)The table is called contingency table.A contingency table is a type of table in a matrix format that displays the frequency distribution of the variables.

b) total number of observations = total number of males and females = total number of subjects = 60+90+30+50+20+50+15+20+10+30= 375

c) number of females students for this study = 90+50+50+20+30=240

d) There are 2 variables in this study.

Variables are gender and faculty

e) Gender is not a quantitative variable, it is an qualitative variable. Faculty is also qualitative variable. A qualitative variable also called a categorical variable are variables that are not numerical. It describes data that fits into categories. Gender and faculty are those variables whose measurements can not be expressed in numerical values so they are qualitative variables.

f) Since these variables are qualitative variables. For both gender and type of faculty we can not give any natural ordering so both variables are nominal variables.

g) In order to study the relationship between these nominal variables, the analysis that we can apply is chi- square test.