For a study on the current trend in the design of social robots, researchers obtained a random sample of 103 social robots through a Web search and determined that 63 were designed with legs, but no wheels. Complete parts a and b.a. Find a 90% confidence interval for the proportion of all social robots designed with legs, but no wheels. Interpret the result. For a study on the current trend in the design of social robots, researchers obtained a random sample of 103 socialrobots through a Web search and determined that 63 were designed with legs, but no wheels. Complete parts a and b.a. Find a 90% confidence interval for the proportion of all social robots designed with legs, but no wheels. Interpret theresult.The 90% confidence interval is ().(Round to three decimal places as needed.)Interpret the result. Select the correct choice below and fill in the answer boxes within your choice.(Type integers or decimals rounded to three decimal places as needed. Use ascending order.)O A. AmongbetweenOB. There is abetween% of the population of all social robots, the proportion designed with legs, but no wheels, liesandOC. We can bebetweenand% chance that the true proportion of all social robots designed with legs, but no wheels, liesand% confident that the true proportion of all social robots designed with legs, but no wheels, liesandOD. The probability that the true proportion of all social robots designed with legs, but no wheels, is lies between

Sample size n=103Favorable cases x=63Sample proportion p^=x/n=63/103=0.6117The critical value for α=0.1 is Zc=1.645For two tailed test. (Calculated from excel)Formula used for critical value. =NORM.S.INV(1-0.1/2)90% C.I = (p^ ± Zc×√p^(1 - p^)∕n )= (0.6117 ± 1.645×√0.6117(1 - 0.6117)∕103 )= ( 0.533 , 0.691 )Interpretation:We can be between 90% confident that the true proportion of all social robots designed with legs, but no wheels, lies 0.533 and 0.69190% confidence interval is.= ( 0.533,0.691)Interpretation:We can be between 90% confident that the true proportion of all social robots designed with legs, but no wheels, lies 0.533 and 0.691Hence option (C) is correct choice.

Math

Statistics

For a study on the current trend in the design of social robots, researchers obtained a random sample of 103 social robots through a Web search and determined that 63 were designed with legs, but no wheels. Complete parts a and b. a. Find a 90% confidence interval for the proportion of all social robots designed with legs, but no wheels. Interpret the result.

For a study on the current trend in the design of social robots, researchers obtained a random sample of 103 social robots through a Web search and determined that 63 were designed with legs, but no wheels. Complete parts a and b. a. Find a 90% confidence interval for the proportion of all social robots designed with legs, but no wheels. Interpret the result.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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