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.

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Lunar Phase # Days in Phase # Births 7680 48,442 7579 47,814 New moon Waxing crescent First quarter Waxing gibbous Full moorn Waning gibbous Last quarter Waning crescent 24 152 24 149 24 150 24 152 47,595 7733 48,230