The data in the following table compared women who viewed television violence with those who did not, in order to study the differences in physical abuse of the spouse. Use the output to test whether television violence and abusiveness are associated, using a significance level of 0.05.
High TV Violence Low TV Violence
Yes; Physical Abuse 12 30
No Physical Abuse 2
Chi-Square Test: High TV Violence, Low TV Violence
Expected counts are printed below:
Observed counts Chi-Square contributions Expected counts
High TV Violence Low TV Violence Total
Yes 8 15 23 1.59 0.395
No 107 14 121 0.124 14
Total 26 65 91
Chi-Square: 2.612
P-Value: 0.106
NOTE: In the boxed-in table, observed values are given first, then expected counts, then the chi-square contribution.
From this data, answer the following:
a) State the hypotheses for a chi-square test.
b) Is this a test of independence or homogeneity? How do you know?
What conclusion can be drawn based on the observed p-value and significance level?