In what was perhaps the first published report of a nonparametric test, Arbuthnott (1710) examined the available London birth records of 82 years and for each year compared the number of males born with the number of females born. If for each year we denote the event "more males than females were born" by *+" and the opposite event by "-", (there were no ties), We may consider the hypotheses to be HO: P(+) = P(-) v.s. HA: P(+) # P(-). Suppose that a hypothetical data shows that there are 45 "+" out of 82 years. Please test the above null and alternative hypotheses at a a = 0.05 level.