Does the phase of the moon have any bearing on birthrate? Each of 222,784 births that occurred during a period encompassing 24 full lunar cycles was classified according to lunar phase. The following data is consistent with summary quantities that appeared in the article "The Effect of the Lunar Cycle on Frequency of Births and Birth Complications" (Amer. J. of Obstetrics and Gynecology, 2005: 1462-1464).

State and test the appropriate hypotheses to answer the question posed at the beginning of this exercise.