6. Is there a relationship between couples living together before marriage and w

Question

6. Is there a relationship between couples living together before marriage and whether or not they later become divorced? The number of divorces were recorded from couples who lived together before marriage and from those who did not. The observed data are:

Divorced Not Divorced

Lived together 25 14

Did not live together 12 21

(a) Find the expected cell counts rounded to one decimal place.

Divorced Not Divorced

Lived together

Did not live together

(b) Compute the value of the chi-square test statistic.

(c) Determine the P-value for the chi-square test statistic given above.

(d) State your conclusion in terms of the problem.

Explanation / Answer

ChiSquare Test For GoodNess of Fit

Ho: couples living together before marriage and they later become divorced                                  
Ha:not Ho                                  

a.

b.

^2 Test Statistic =5.505              
^2 degrees of freedom = ( r-1 ) * ( c-1 ) =1 * 1 = 1, tab is 3.8415              
^2 p_value =0.018960012              
| ^2 tab | >| ^2 cal | i.e.Do not Re ject Ho              
We conclude that statistics are related               
              
              

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