Perform a chi-square independence test. A sociologist randomly selects 695 femal

Question

Perform a chi-square independence test. A sociologist randomly selects 695 females, 15-19 years old and asks each to disclose her family structure at age 14 and whether or not she has abused drugs. The following is a contingency table that summarizes the results.

1. At the 5% significance level, does the data provide sufficient evidence to conclude that an association exists between family structure and drug history?   

2. Find the test statstic x2 =

3. Determine the critical value.

Total                  124               224               137               210                 695

Structure 1 Structure 2    Structure 3 Structure 4       Total Has abused drugs      64         67        60        61                  252 Has not abused drugs      60       157        77       149                 443

Explanation / Answer

Chi-square=24.646

degrees of freedom=3

p-value=0.00003856

calculated value is more than table value at 5 % level of significance

reject Null hypothiesis

there is a significant association exists between family structure and drug history

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