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).

Lunar Phase # Days in Phase # Births New moon 24 7680 Waxing crescent 152 48,442 First quarter 24 7579 Waxing gibbous 149 47,814 Full moon 24 7711 Waning gibbous 150 47,595 Last quarter 24 7733 Waning crescent 152 48,230 State and test the appropriate hypotheses to answer the question posed at the beginning of this exercise.