Analysis of data collected in a study of educational levels

Analysis of data collected in a study of educational levels (Did not complete High school degree, and College degree), of voters and their political party affiliations (Democrat, Republican and Independent) resulted X^2 = 13.42. Test with a = 0.01 to determine whether party affiliation is Independent of the educational level of voters.

Solution

Here, the number of levels for educations level is a = 2.

also, the number of levels for party affiliation is b = 3.

Thus,

df = (a-1)(b-1) = 2

At df = 2, alpha = 0.01, the critical value for chi^2 is

chi^2 (critical) = 9.210340372

As chi^2 = 13.42 > 9.21, then we REJECT THE NULL HYPOTHESIS.

There is significant evidence that party affiliation is NOT INDEPENDENT of the educational level of voters. [CONCLUSION]