Final answer:
While the 'test for membership' in Beta Sigma Phi refers to eligibility requirements, the question is likely inquiring about a statistical test to compare mean grades among sororities using a significance level of 1 percent to determine if differences are statistically significant.
Step-by-step explanation:
The 'test for membership' in Beta Sigma Phi is not a statistical test but rather refers to the criteria and processes used by the international women's social, service, and cultural organization to determine eligibility and acceptance of members. However, the question seems to be indirectly asking about whether statistical methods could be used to determine if there are significant differences in mean grades among different sororities. To address such an inquiry, a statistical test such as ANOVA (Analysis of Variance) would be applied using a significance level of 1 percent to assess the null hypothesis that there is no difference in mean grades across sororities. During the sorority recruitment day, potential new members can learn about various sororities and their membership criteria, which may or may not include academic achievements as a factor. If a study has been conducted comparing grades among sororities, using a significance level of 1 percent means that there must be less than a 1 percent chance that the observed differences in mean grades are due to random variation for the differences to be considered statistically significant.