An investigator was interested in the relationship between color preference and number of siblings. A test of independence produced a $\chi$² that allowed the null hypothesis to be rejected. The proper conclusion is A) there is a relationship between color preference and number of siblings B) there is no relationship between color preferences and number of siblings C) either of the descriptive alternatives, depending on the size of the $\chi$²

Question

Quizplus · Accepted Answer

When a test of independence allows for the rejection of the null hypothesis, it indicates that there is a statistically significant relationship between the variables being tested. In this case, it suggests a relationship between color preference and the number of siblings.

An Investigator Was Interested in the Relationship Between Color Preference χ\chiχ

An Investigator Was Interested in the Relationship Between Color Preference $\chi$