Question

A clinical trial tests a method designed to increase the probability of conceiving a girl. In the study 500

babies were​ born, and 275 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 1

Solution, Given that, n. 500 p - x - 275 x = 275 0.55 500 Construct 99% x = 1-6 = c.l. for p 1-0.99 -0.01 I-0.01 -0.005 2 2.576 Margin of erese E = a jê (1-f2 = 2.576 16.55 1-0.55) 500 LEE 0.0573 Requised interval P is ê LE Lê - & LPL PTE 0.55-0.0573 < p <0.55 +0.0573 (0.4927, 0.6073)