자유도가 감소한 만큼 x²의 값이 충분히 감소하였음으로 교육 전후 응답자간 인과관계는 차이가 있는 것으로 나타났다.
As the degree of freedom decreased, the value of x² sufficiently decreased, indicating that there was a difference in the causal relationship between respondents before and after education.