## A clinical trial tests a method designed to increase the probability of conceiving a girl. In the study 300 babies were​ born, and 270 of th

Question

A clinical trial tests a method designed to increase the probability of conceiving a girl. In the study 300 babies were​ born, and 270 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?

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2 weeks 2021-10-13T05:52:22+00:00 1 Answer 0

99% confidence interval would be given (0.98;1).

We are confident that about 98% to 100% of the babies born using this new method will be girls.  So is very effective since increase the probability of getting a girl by almost the double.

Step-by-step explanation:

1) Data given and notation

n=300 represent the random sample taken

X=270 represent the number of girls born in the sample selected estimated proportion of girls born with the new method

Confidence =99% or 0.99

p= population proportion of girls born with the new method proposed

2) Confidence interval

The confidence interval would be given by this formula For the 99% confidence interval the value of and , with that value we can find the quantile required for the interval in the normal standard distribution. And replacing into the confidence interval formula we got:  And the 99% confidence interval would be given (0.98;1.00).

We are confident that about 98% to 100% of the babies born using this new method will be girls.  So is very effective since increase the probability of getting a girl by almost the double.