Statistics II20815 marksNumerical: chi-square independence testTwo independent sample test
Chi-Square Test of Independence Based on interviews of couples seeking divorce, a social worker compiles the following data related to the period of acquaintanceship before marriage and the duration of marriage. Perform a test to determine if the data substantiate an association between the duration
Chi-Square Test of Independence
Based on interviews of couples seeking divorce, a social worker compiles the following data related to the period of acquaintanceship before marriage and the duration of marriage. Perform a test to determine if the data substantiate an association between the duration of a marriage and the acquaintanceship prior to marriage. Use 5% level of significance.
| Acquaintanceship before marriage | Less than or equal to 5 years | More than 5 years | Total |
|---|---|---|---|
| Below 0.5 year | 15 | 7 | 22 |
| 0.5–1.5 years | 26 | 22 | 48 |
| Over 1.5 years | 19 | 11 | 30 |
| Total | 60 | 40 | 100 |
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Observed contingency table: Acquaintanceship ≤ 5 years 5 years Total ------------ Below 0.5 yr 15 7 22 0.5-1.5 yr 26 22 48 Over 1.5 yr 19 11 30 Total 60 40 100 Significance level $\alpha = 0.05$. - $H0$: No association between duration of marriage and acquaintanceship period (independent). - $H1$...