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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

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.

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