The ratio of Cesarean Section （C-section， 剖腹生產）， a surgical procedure in which incisions are made through a mother's abdomen （laparotomy） and uterus （hysterotomy） to deliver one or more babies， is much higher in Taiwan than in US or European countries. One of the hypothesis to explain this phenomena is that Taiwanese people believes in 生辰八字， one's birth data for astrological purposes， combined from year， month， day， hour， heavenly trunk and earthly branch. C-section gives the parent the freedom to choose a nice 生辰八字. Assume that you are given data for individual birth including natural birth or C-section， date and time of the day for birth and a lunar calendar marking each day as a good day （吉） or a bad one （兇）. Explain how to test the hypothesis. Be specific about the null and alternative hypothesis， this test statistics， and its rejection region.