A researcher is conducting a chi-square test for independence to evaluate the relationship between gender and preference for three different designs for a new automobile. Each individual in a sample of n=30 males and n=30 females selects a favorite design from the three choices. If the researcher obtains a chi-square statistic of X^2 = 4.81, what is the appropriate statistical decision for the test?
O Fail to reject the null hypothesis with either α = 0.05 or α = 0.01
O There is not enough information to determine the appropriate decision.
O Reject the null hypothesis with α = 0.05 but not with α = 0. 01
O Reject the null hypothesis with either α = 0.05 or α = 0.01
