Question

T/f- the difference between the observed and expected frequencies forms the basis for chi-square test

Answer 1

The chi-square test is a non parametric test. It is based on the difference between the observed values and expected value for each category.

The chi-square test is given by;

Where O_i = observed frequencies

E_i = expected frequencies and

i = number of categories; i = 1,2,3, - - - n

The null and alternative hypothesis of chi-square test is given below;

H₀ : The observed and expected values are equal to each other.

H_¹ : The observed and expected values are different from each other.

Hence we can say that, the statement given in the question is TRUE.