Question

In a certain sample of 2,000 families 1,400 families are consumers of tea where 1236 are Hindu families and 164 are non-Hindu. And 600 families are not consumers of tea where 564 are Hindu families and 36 are non-Hindu. Use x² – test and state whether there is any significant difference between consumption of tea among Hindu and non-Hindu families.

Answer 1

The above data can be arranged in the form of a 2 x 2 contingency table as given below:

We set up the null hypothesis (H₀) that the two attributes viz., ‘consumption of tea’ and the ‘community’ are independent. In other words, there is no significant difference between the consumption of tea among Hindu and non-Hindu families.

Calculation of (f_e):

Since the calculated value of x², viz., 15.24 is much greater than the tabulated value of x² at .01 level of significance; the value of x² is highly significant and null hypothesis is rejected.

Hence we conclude that the two communities (Hindu and Non-Hindus) differ significantly as regards the consumption of tea among them.