Question 1045275: A clinical trial tests a method designed to increase the probability of conceiving a girl. In the study
610
babies were born, and
305
of them were girls. Use the sample data to construct a
99%
confidence interval estimate of the percentage of girls born. Based on the result, does the method appear to be effective?
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! If we assume that the probability normally is 50%, then no, because the point estimate, which is at the center of the CI, is 50%. Actually, it is a little less.
The CI is 0.50 +/- 2.576* sqrt { (0.5)(0.5)/610}; sqrt term is 0.0202
CI is 0.50+/- 0.0521, or (0.45,0.55)
Because the confidence interval contains probabilities less than 50%, we can't conclude that the method appears to be effective.
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