uiz Me: Quiz Me: 7.2-4 Construct and interpret confidence sumit Qu his Question:

Question

uiz Me: Quiz Me: 7.2-4 Construct and interpret confidence sumit Qu his Question: 1 pt 3 of 3 This Quiz: 3 pts possib Question Help A clinical trial tests a method designed to increase the probability of conceiving a girl. In the study 300 babies were born, and 255 of them were girls. Use the sample data to construct a 99% confidence interval estimate of the percentage of ginsbom. Based on the result, does the method appear to be effective? D: p«D (Round to three decimal places as needed.) Does the method appear to be effective? O Yes, the proportion of girls is significantly different from 0.5 O No, the proportion of girts is not significantly different from 0.5

Explanation / Answer

Solution:- x = 255, n = 300 p = 255/300 = 0.85 q = 0.15

99% confidence interval for Z is 2.576

=> p +/- Z * Sqrt(pq/n)

= 0.85 +/- 2.576*sqrt(0.85*0.15/300)

= (0.797 , 0.903)

option A. Yes, the proportion of girls is significantly different from 0.5

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