Question

A new rocket launch system is being considered for the deployment of small, short-range rockets. The probability that the existing system will have a successful launch is represented by p = 0.8. A sample of 52 experimental launches is taken with the new system and 46 are successful. Determine the margin of error for a 97% confidence interval for the success rate of the new system.

Use the critical value rounded to 3 decimal places and your answer to 4 decimal places.

Answer 1

Existing system Success rate P=0.8 f population Sample data n = 52 x = 46. 97% confidence maram of esor d=0:03 7 = 2.17 097. Intewal E-> P(-2-17<2<2:17) Sample Proportion n a ube 0.8846 Standard essor se = n (0.8846 (0.1154) 52 = 0.044307 Se Margin of essor E = 2x P(1-P) 2 = 2.17 (6044307] = 0.0967 E=0.0961