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VladimirAG [237]
3 years ago
15

A clinical trial tests a method designed to increase the probability of conceiving a girl. In the study 390 babies were​ born, a

nd 312 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?
Mathematics
1 answer:
JulijaS [17]3 years ago
7 0

Answer:Yes

Step-by-step explanation:

Given

n=390 x=312

\hat{p}=\frac{312}{390}=0.8

Confidence level=99 %

Z_{\frac{\alpha }{2}}=2.575

Standard error(S.E.)=\sqrt{\frac{\hat{p}\left ( 1-\hat{p}\right )}{n}}

S.E.=\sqrt{\frac{0.8\times 0.2}{390}}

S.E.=0.0202

Confidence interval

p\pm \left [ z_{\frac{\alpha }{2}}\cdot S.E.\right ]

0.8 \pm 0.0521

\left ( 0.7479,0.8521 \right )

Since 0.5 does not lie in interval therefore method appear to be effective

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