B. For each of the religious affiliation classifications, calculate the percentage of men who have divorced and the percentage of men who haven’t been divorced.

C. Discuss the meaning of the percentages found in part A with respect to the relationship between divorce status and religious affiliation.

SOLUTION

A. It is desired to see if there is a relationship between two qualitative variables; divorce status and religious affiliation.

           Decision Rule: Accept H_a if the calculated p-value < .10.

          Calculations from StatCrunch: Χ² = 11.36, p-value = 0.0228

B. The percentage of men who have divorced for each of the religious affiliation classifications is

Using these the following summary table is constructed.

C. For the religious affiliations classified as A, B, D, and None all of the percentages of divorced men are reasonably close to 30%, and of course those never divorced are close to 70%.  However, for the classification of C, the percentage of divorced men is much lower at 21% with 79% being never divorced. The differences in these percentages for classification C as compared to the other classifications is the main reason that it was concluded that a relationship exists between divorce status and religious affiliation.

            

Contingency table results:
Rows: Divorce Status
Columns: None

 

Cell format

Count Expected count

	A	B	C	D	None	Total
Divorced	15 13.66	25 19.52	36 51.48	28 23.91	18 13.42	122
Never Divorced	41 42.34	55 60.48	175 159.5	70 74.09	37 41.58	378
Total	56	80	211	98	55	500

Statistic	DF	Value	P-value
Chi-square	4	11.35965	0.0228

 

 

 

• A graph of the appropriate Chi-square distribution and the resulting p-value is furnished below.