ABC Hospital should decide whether to put a male baby or a female baby on their OB-GYN department brochure cover. The HQ decides it will be a male only if more than half of the babies that the hospital actually delivers are males. Else wise it will be a female on the cover. A random sample of 15,000 babies delivered (born) at ABC Hospital consist of 8,942 males which is 59.6% of all babies born. The HQ would like to be at least 95% confident in their decision.

a) What is your null hypothesis? What is your alternative hypothesis?

b) What test statistic would you use to test your null hypothesis?

c) Calculate this test statistic and explain whether it indicates that you can reject or cannot reject the null hypothesis.