Question

A random sample of voters is selected from each of Canada's three prairie provinces (Manitoba, Saskatchewan and Alberta) and respondents are asked which federal political party they support (Conservative, Green, Liberal or NDP). We would like to conduct a test at the 10% level of signicance to determine whether voters in Canada's prairie provinces are homogeneous with respect to which political party they support. What is the critical value for the appropriate test of signicance?

Answer 1

There will be 3 rows for Manitoba, Saskatchewan and Alberta and four columns for Conservative, Green, Liberal or NDP

Degree of freedom for chi square test of Homogeneity is given as

df = (number of rows -1)*(number of columns-1)

where number of rows = 3 and number of columns =4

this implies

= (3-1)*(4-1)

= 2*3

= 6

Using chi square critical table with alpha level 0.10 and df = 6, we get the critical value 10.64

So, the required critical value for the appropriate test of significance is 10.64