Suppose that a two-way table displaying sample information about gender and opinion about the legalization of marijuana (yes or no) is examined using a chi-square test. The necessary conditions are met and the chi-square value is calculated to be 15. What conclusion can be made?
A) Gender and opinion have a statistically significant relationship
B) Gender and opinion do not have a statistically significant relationship
C) It is impossible to make a conclusion because we don't know the sample size.
D) It is impossible to make a conclusion because we don't know the degrees of freedom.

Question

Quizplus · Accepted Answer

A chi-square value of 15 suggests that the observed frequencies deviate significantly from the expected frequencies under the null hypothesis of independence, indicating a statistically significant relationship between gender and opinion about the legalization of marijuana. The conclusion does not depend on knowing the sample size or degrees of freedom for the purpose of determining significance, as these factors are already accounted for in the calculation of the chi-square statistic and the subsequent determination of significance based on critical values or p-values.

Suppose That a Two-Way Table Displaying Sample Information About Gender