An obstetrician has noticed that there seems to be a pattern to the genders of babies that he delivers. That is, he tends to deliver boys and girls in clusters. In order to determine whether this pattern is true outside of his hospital, he calls four other hospitals in the region and obtains the following information regarding a random sample of births from the previous six months. Does the evidence gathered support the doctor's claim at a 0.01

Observed Sample of 926 Births
	Nov / Dec	Jan / Feb	Mar / Apr	Total
Boy	158	165	153	476
Girl	149	147	154	450
Total	307	312	307	926

a. State hypotheses

b. calculate the test statistic. (Round to 2 decimal places)

c. Conclude your test. Justify your answer.