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 affiliations (demo, rep, and idependent) resulted X²= 13.42. Test with a=0.01 to determine whether party affiliation is independent of the educational level of voters.

A1.State the null and alternative hypothesis?

A2. What is the value of the test statistic?

A3. What is the critical value?

A4. What is the p-value?

A5. What is your conclusion reguarding the null hypothesis?

Solution

Analysis of data collected in a study of educational levels (did not complete high school degree, and College degree) of voters and their political affiliations (demo, rep, and idependent) resulted X²= 13.42. Test with a=0.01 to determine whether party affiliation is independent of the educational level of voters.

A1.State the null and alternative hypothesis?

Null hypothesis: party affiliation is independent of the educational level of voters.

Alternative hypothesis: party affiliation is not independent of the educational level of voters

A2. What is the value of the test statistic?

Chi square test value =13.42

A3. What is the critical value?

educational levels =2

political affiliations levels = 3

Df =(2-1)*(3-1) =2

critical value at 0.01 level= 9.21

A4. What is the p-value?

P=0.0012

A5. What is your conclusion regarding the null hypothesis?

Calculated P=0.0012 which is < 0.01 level.

The null hypothesis is rejected.

We conclude that party affiliation is not independent of the educational level of voters.