Tutors on net
Tutors on NetTutors on Net

Chi-Square Test

Statistics Assignment / Homework Help

Statistics mostly deals with quantitative data that is data which is expressed numerically. But we can also analyse qualitative data using statistics. In real life situations, the data may not always be quantitative in nature, hence we need a method to analyse qualitative data. Chi-square is one such method that can be used to analyse qualitative data. To do this test we consider two attributes and try to check if there are associated or not. The number of attributes may be more also. This test is called "chi-square test for independence of attributes".


Consider two attributes A and B. let each attribute have only two outcome. Then the respective frequencies can be represented in the form of a table as shown

B/A A1 A2 Total
B1 a b a + c
B2 c d c + d
total a + c b + d N

Here we want to test the hypothesis

H0: there is no association between the two attributes

H1: there is association between he two attributes

The test statistic here is

Under H0 follows distribution with n-1 degrees of freedom. Here since n=2, the degrees of freedom is always 1. We use this information and the chi-square table values to take the decision.


Following is the data collected on two characters namely the cigarette smoking and literacy and the data is given as follows

Literacy/Smoking Smoker Non-smoker Total
literates 40(a) 50(b) 90(a+b)
illiterates 60(c) 35(d) 95(c+d)
total 100(a+c) 85(b+d) 185(N)

Here we want to test the hypothesis

H0 : cigarette smoking and literacy are not associated

H1: cigarette smoking and literacy are associated

Lets use the level of significance



Now to take the decision, we use the critical value. We can find this from excel, using the function CHISQ.INV.RT(0.05,1). The value we get is 3.8414.

Since the test statistic value is greater than the critical value, we reject H0 at 5% l evel of significance and conclude that there is association between cigarette smoking and literacy.

Online Live Tutor Chi-Square Test, Quantitative data:

We have the best tutors in Statistics in the industry. Our tutors can break down a complex Chi-Square Test, Quantitative data problem into its sub parts and explain to you in detail how each step is performed. This approach of breaking down a problem has been appreciated by majority of our students for learning Chi-Square Test, Quantitative data concepts. You will get one-to-one personalized attention through our online tutoring which will make learning fun and easy. Our tutors are highly qualified and hold advanced degrees. Please do send us a request for Chi-Square Test, Quantitative data tutoring and experience the quality yourself.

Online Chi-square test for independence of attributes Help:

If you are stuck with an Chi-square test for independence of attributes Homework problem and need help, we have excellent tutors who can provide you with Homework Help. Our tutors who provide Chi-square test for independence of attributes help are highly qualified. Our tutors have many years of industry experience and have had years of experience providing Chi-square test for independence of attributes Homework Help. Please do send us the Chi-square test for independence of attributes problems on which you need help and we will forward then to our tutors for review.